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 125/246, 421/628

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 125/246, 421/628 i.e 1/77244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 125/246, 421/628.

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 125/246,421/628?

Given fractions are 125/246,421/628

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 125/246,421/628, numerators are 125,421

Denominators are 246,628

The GCF of 125,421 is 1 .

LCM of 246,628 is 77244.

The greatest common factor of 125/246,421/628 = [GCF of 125,421]/[LCM of 246,628]= 1/77244

Therefore, the GCF of 125/246,421/628 is 1/77244.

Greatest Common Factor of 125,421

To find the highest common factor of 125,421, we have to find the factors of both numbers and list the highest common factor.

The factors of 125 are 1, 5, 25, 125

The factors of 421 are 1, 421

The HCF of 125,421 is 1.

Lets's calculate GCF of 125,421

Greatest Common Factor (GCF) of 125,421 By Common Division

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

Greatest Common Factor of 125,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 125,421 By Matching Biggest Common Factor Method

Now, list down the factors of 125

:

1,5,25,125

Now, list down the factors of 421

:

1,421

Greatest Common Factor

We found the factors 125,421 . The biggest common factor number is the GCF number.
So the greatest common factor 125,421 is 1.

Lets's calculate LCM of 246,628

Lowest Common Multiple of 246,628 using Common Division

2 246, 628
123, 314

∴ So the LCM of the given numbers is 2 x 123 x 314 = 77244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77244

Therefore, the GCF of Fractions 125/246,421/628 is 1/77244

Least Common Multiple of 246,628 with GCF Formula

Least Common Multiple of 246,628 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 246,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(246,628) = 2

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

GCF(246,628) x common factors =2 x 1 = 2

LCM(246,628) = ( 246 × 628 ) / 2

LCM(246,628) = 154488 / 2

LCM(246,628) = 77244


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 125/246, 421/628

1. What is the HCF of 125,421?

The HCF of 125,421 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 125/246, 421/628?

Answer: GCF of Numerators as per given numbers 125/246, 421/628 is

GCF of Numerators i.e. for 125,421 is 1

LCM of denominators i.e. for 246,628 is 77244.

Thus, GCF of Fractions is 1/77244.Finally, GCF of Fractions for 125/246, 421/628 is 1/77244.