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GCF of 5123/669, 7079/796

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 5123/669, 7079/796 i.e 1/532524 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5123/669, 7079/796.

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 5123/669,7079/796?

Given fractions are 5123/669,7079/796

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 5123/669,7079/796, numerators are 5123,7079

Denominators are 669,796

The GCF of 5123,7079 is 1 .

LCM of 669,796 is 532524.

The greatest common factor of 5123/669,7079/796 = [GCF of 5123,7079]/[LCM of 669,796]= 1/532524

Therefore, the GCF of 5123/669,7079/796 is 1/532524.

Greatest Common Factor of 5123,7079

To find the highest common factor of 5123,7079, we have to find the factors of both numbers and list the highest common factor.

The factors of 5123 are 1, 47, 109, 5123

The factors of 7079 are 1, 7079

The HCF of 5123,7079 is 1.

Lets's calculate GCF of 5123,7079

Greatest Common Factor (GCF) of 5123,7079 By Common Division

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

Greatest Common Factor of 5123,7079 By Matching Biggest Common Factor Method

Greatest Common Factor of 5123,7079 By Matching Biggest Common Factor Method

Now, list down the factors of 5123

:

1,47,109,5123

Now, list down the factors of 7079

:

1,7079

Greatest Common Factor

We found the factors 5123,7079 . The biggest common factor number is the GCF number.
So the greatest common factor 5123,7079 is 1.

Lets's calculate LCM of 669,796

Lowest Common Multiple of 669,796 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 532524

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/532524

Therefore, the GCF of Fractions 5123/669,7079/796 is 1/532524

Least Common Multiple of 669,796 with GCF Formula

Least Common Multiple of 669,796 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 669,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(669,796) = 1

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

GCF(669,796) x common factors =1 x 1 = 1

LCM(669,796) = ( 669 × 796 ) / 1

LCM(669,796) = 532524 / 1

LCM(669,796) = 532524


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FAQs on GCF of Fractions of 5123/669, 7079/796

1. What is the HCF of 5123,7079?

The HCF of 5123,7079 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 5123/669, 7079/796?

Answer: GCF of Numerators as per given numbers 5123/669, 7079/796 is

GCF of Numerators i.e. for 5123,7079 is 1

LCM of denominators i.e. for 669,796 is 532524.

Thus, GCF of Fractions is 1/532524.Finally, GCF of Fractions for 5123/669, 7079/796 is 1/532524.