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GCF of 872/68, 107/298

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 872/68, 107/298 i.e 1/10132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 872/68, 107/298.

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 872/68,107/298?

Given fractions are 872/68,107/298

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 872/68,107/298, numerators are 872,107

Denominators are 68,298

The GCF of 872,107 is 1 .

LCM of 68,298 is 10132.

The greatest common factor of 872/68,107/298 = [GCF of 872,107]/[LCM of 68,298]= 1/10132

Therefore, the GCF of 872/68,107/298 is 1/10132.

Greatest Common Factor of 872,107

To find the highest common factor of 872,107, we have to find the factors of both numbers and list the highest common factor.

The factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872

The factors of 107 are 1, 107

The HCF of 872,107 is 1.

Lets's calculate GCF of 872,107

Greatest Common Factor (GCF) of 872,107 By Common Division

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

Greatest Common Factor of 872,107 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,107 By Matching Biggest Common Factor Method

Now, list down the factors of 872

:

1,2,4,8,109,218,436,872

Now, list down the factors of 107

:

1,107

Greatest Common Factor

We found the factors 872,107 . The biggest common factor number is the GCF number.
So the greatest common factor 872,107 is 1.

Lets's calculate LCM of 68,298

Lowest Common Multiple of 68,298 using Common Division

2 68, 298
34, 149

∴ So the LCM of the given numbers is 2 x 34 x 149 = 10132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10132

Therefore, the GCF of Fractions 872/68,107/298 is 1/10132

Least Common Multiple of 68,298 with GCF Formula

Least Common Multiple of 68,298 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 68,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,298) = 2

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

GCF(68,298) x common factors =2 x 1 = 2

LCM(68,298) = ( 68 × 298 ) / 2

LCM(68,298) = 20264 / 2

LCM(68,298) = 10132


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FAQs on GCF of Fractions of 872/68, 107/298

1. What is the HCF of 872,107?

The HCF of 872,107 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 872/68, 107/298?

Answer: GCF of Numerators as per given numbers 872/68, 107/298 is

GCF of Numerators i.e. for 872,107 is 1

LCM of denominators i.e. for 68,298 is 10132.

Thus, GCF of Fractions is 1/10132.Finally, GCF of Fractions for 872/68, 107/298 is 1/10132.