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 100/300, 4691/126

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 100/300, 4691/126 i.e 1/6300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 100/300, 4691/126.

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 100/300,4691/126?

Given fractions are 100/300,4691/126

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 100/300,4691/126, numerators are 100,4691

Denominators are 300,126

The GCF of 100,4691 is 1 .

LCM of 300,126 is 6300.

The greatest common factor of 100/300,4691/126 = [GCF of 100,4691]/[LCM of 300,126]= 1/6300

Therefore, the GCF of 100/300,4691/126 is 1/6300.

Greatest Common Factor of 100,4691

To find the highest common factor of 100,4691, we have to find the factors of both numbers and list the highest common factor.

The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100

The factors of 4691 are 1, 4691

The HCF of 100,4691 is 1.

Lets's calculate GCF of 100,4691

Greatest Common Factor (GCF) of 100,4691 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 100,4691 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,4691 By Matching Biggest Common Factor Method

Now, list down the factors of 100

:

1,2,4,5,10,20,25,50,100

Now, list down the factors of 4691

:

1,4691

Greatest Common Factor

We found the factors 100,4691 . The biggest common factor number is the GCF number.
So the greatest common factor 100,4691 is 1.

Lets's calculate LCM of 300,126

Lowest Common Multiple of 300,126 using Common Division

2 300, 126
3 150, 63
50, 21

∴ So the LCM of the given numbers is 2 x 3 x 50 x 21 = 6300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6300

Therefore, the GCF of Fractions 100/300,4691/126 is 1/6300

Least Common Multiple of 300,126 with GCF Formula

Least Common Multiple of 300,126 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 300,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,126) = 6

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

GCF(300,126) x common factors =6 x 1 = 6

LCM(300,126) = ( 300 × 126 ) / 6

LCM(300,126) = 37800 / 6

LCM(300,126) = 6300


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 100/300, 4691/126

1. What is the HCF of 100,4691?

The HCF of 100,4691 is 1

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 100/300, 4691/126?

Answer: GCF of Numerators as per given numbers 100/300, 4691/126 is

GCF of Numerators i.e. for 100,4691 is 1

LCM of denominators i.e. for 300,126 is 6300.

Thus, GCF of Fractions is 1/6300.Finally, GCF of Fractions for 100/300, 4691/126 is 1/6300.