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GCF of 868/62, 826/711

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 868/62, 826/711 i.e 14/44082 easily. The following is the detailed procedure to determine the greatest common factor of fractions 868/62, 826/711.

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 868/62,826/711?

Given fractions are 868/62,826/711

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 868/62,826/711, numerators are 868,826

Denominators are 62,711

The GCF of 868,826 is 14 .

LCM of 62,711 is 44082.

The greatest common factor of 868/62,826/711 = [GCF of 868,826]/[LCM of 62,711]= 14/44082

Therefore, the GCF of 868/62,826/711 is 14/44082.

Greatest Common Factor of 868,826

To find the highest common factor of 868,826, we have to find the factors of both numbers and list the highest common factor.

The factors of 868 are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

The factors of 826 are 1, 2, 7, 14, 59, 118, 413, 826

The HCF of 868,826 is 14.

Lets's calculate GCF of 868,826

Greatest Common Factor (GCF) of 868,826 By Common Division

2 868, 826
7 434, 413
62, 59

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 868,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,826 By Matching Biggest Common Factor Method

Now, list down the factors of 868

:

1,2,4,7,14,28,31,62,124,217,434,868

Now, list down the factors of 826

:

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 868,826 . The biggest common factor number is the GCF number.
So the greatest common factor 868,826 is 14.

Lets's calculate LCM of 62,711

Lowest Common Multiple of 62,711 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 44082

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/44082

Therefore, the GCF of Fractions 868/62,826/711 is 14/44082

Least Common Multiple of 62,711 with GCF Formula

Least Common Multiple of 62,711 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 62,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,711) = 1

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

GCF(62,711) x common factors =1 x 1 = 1

LCM(62,711) = ( 62 × 711 ) / 1

LCM(62,711) = 44082 / 1

LCM(62,711) = 44082


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 868/62, 826/711

1. What is the HCF of 868,826?

The HCF of 868,826 is 14

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 868/62, 826/711?

Answer: GCF of Numerators as per given numbers 868/62, 826/711 is

GCF of Numerators i.e. for 868,826 is 14

LCM of denominators i.e. for 62,711 is 44082.

Thus, GCF of Fractions is 14/44082.Finally, GCF of Fractions for 868/62, 826/711 is 14/44082.