LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 112/43, 604/2502

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 112/43, 604/2502 i.e 4/107586 easily. The following is the detailed procedure to determine the greatest common factor of fractions 112/43, 604/2502.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 112/43,604/2502?

Given fractions are 112/43,604/2502

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 112/43,604/2502, numerators are 112,604

Denominators are 43,2502

The GCF of 112,604 is 4 .

LCM of 43,2502 is 107586.

The greatest common factor of 112/43,604/2502 = [GCF of 112,604]/[LCM of 43,2502]= 4/107586

Therefore, the GCF of 112/43,604/2502 is 4/107586.

Greatest Common Factor of 112,604

To find the highest common factor of 112,604, we have to find the factors of both numbers and list the highest common factor.

The factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

The factors of 604 are 1, 2, 4, 151, 302, 604

The HCF of 112,604 is 4.

Lets's calculate GCF of 112,604

Greatest Common Factor (GCF) of 112,604 By Common Division

2 112, 604
2 56, 302
28, 151

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 112,604 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,604 By Matching Biggest Common Factor Method

Now, list down the factors of 112

:

1,2,4,7,8,14,16,28,56,112

Now, list down the factors of 604

:

1,2,4,151,302,604

Greatest Common Factor

We found the factors 112,604 . The biggest common factor number is the GCF number.
So the greatest common factor 112,604 is 4.

Lets's calculate LCM of 43,2502

Lowest Common Multiple of 43,2502 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 107586

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/107586

Therefore, the GCF of Fractions 112/43,604/2502 is 4/107586

Least Common Multiple of 43,2502 with GCF Formula

Least Common Multiple of 43,2502 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 43,2502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,2502) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(43,2502) x common factors =1 x 1 = 1

LCM(43,2502) = ( 43 × 2502 ) / 1

LCM(43,2502) = 107586 / 1

LCM(43,2502) = 107586


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 112/43, 604/2502

1. What is the HCF of 112,604?

The HCF of 112,604 is 4

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 112/43, 604/2502?

Answer: GCF of Numerators as per given numbers 112/43, 604/2502 is

GCF of Numerators i.e. for 112,604 is 4

LCM of denominators i.e. for 43,2502 is 107586.

Thus, GCF of Fractions is 4/107586.Finally, GCF of Fractions for 112/43, 604/2502 is 4/107586.