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GCF of 124/265, 786/962

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 124/265, 786/962 i.e 2/254930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 124/265, 786/962.

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 124/265,786/962?

Given fractions are 124/265,786/962

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 124/265,786/962, numerators are 124,786

Denominators are 265,962

The GCF of 124,786 is 2 .

LCM of 265,962 is 254930.

The greatest common factor of 124/265,786/962 = [GCF of 124,786]/[LCM of 265,962]= 2/254930

Therefore, the GCF of 124/265,786/962 is 2/254930.

Greatest Common Factor of 124,786

To find the highest common factor of 124,786, we have to find the factors of both numbers and list the highest common factor.

The factors of 124 are 1, 2, 4, 31, 62, 124

The factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786

The HCF of 124,786 is 2.

Lets's calculate GCF of 124,786

Greatest Common Factor (GCF) of 124,786 By Common Division

2 124, 786
62, 393

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

Greatest Common Factor of 124,786 By Matching Biggest Common Factor Method

Greatest Common Factor of 124,786 By Matching Biggest Common Factor Method

Now, list down the factors of 124

:

1,2,4,31,62,124

Now, list down the factors of 786

:

1,2,3,6,131,262,393,786

Greatest Common Factor

We found the factors 124,786 . The biggest common factor number is the GCF number.
So the greatest common factor 124,786 is 2.

Lets's calculate LCM of 265,962

Lowest Common Multiple of 265,962 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 254930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/254930

Therefore, the GCF of Fractions 124/265,786/962 is 2/254930

Least Common Multiple of 265,962 with GCF Formula

Least Common Multiple of 265,962 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 265,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,962) = 1

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

GCF(265,962) x common factors =1 x 1 = 1

LCM(265,962) = ( 265 × 962 ) / 1

LCM(265,962) = 254930 / 1

LCM(265,962) = 254930


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FAQs on GCF of Fractions of 124/265, 786/962

1. What is the HCF of 124,786?

The HCF of 124,786 is 2

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 124/265, 786/962?

Answer: GCF of Numerators as per given numbers 124/265, 786/962 is

GCF of Numerators i.e. for 124,786 is 2

LCM of denominators i.e. for 265,962 is 254930.

Thus, GCF of Fractions is 2/254930.Finally, GCF of Fractions for 124/265, 786/962 is 2/254930.