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GCF of 2134/724, 6827/688

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 2134/724, 6827/688 i.e 1/124528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2134/724, 6827/688.

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 2134/724,6827/688?

Given fractions are 2134/724,6827/688

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 2134/724,6827/688, numerators are 2134,6827

Denominators are 724,688

The GCF of 2134,6827 is 1 .

LCM of 724,688 is 124528.

The greatest common factor of 2134/724,6827/688 = [GCF of 2134,6827]/[LCM of 724,688]= 1/124528

Therefore, the GCF of 2134/724,6827/688 is 1/124528.

Greatest Common Factor of 2134,6827

To find the highest common factor of 2134,6827, we have to find the factors of both numbers and list the highest common factor.

The factors of 2134 are 1, 2, 11, 22, 97, 194, 1067, 2134

The factors of 6827 are 1, 6827

The HCF of 2134,6827 is 1.

Lets's calculate GCF of 2134,6827

Greatest Common Factor (GCF) of 2134,6827 By Common Division

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

Greatest Common Factor of 2134,6827 By Matching Biggest Common Factor Method

Greatest Common Factor of 2134,6827 By Matching Biggest Common Factor Method

Now, list down the factors of 2134

:

1,2,11,22,97,194,1067,2134

Now, list down the factors of 6827

:

1,6827

Greatest Common Factor

We found the factors 2134,6827 . The biggest common factor number is the GCF number.
So the greatest common factor 2134,6827 is 1.

Lets's calculate LCM of 724,688

Lowest Common Multiple of 724,688 using Common Division

2 724, 688
2 362, 344
181, 172

∴ So the LCM of the given numbers is 2 x 2 x 181 x 172 = 124528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124528

Therefore, the GCF of Fractions 2134/724,6827/688 is 1/124528

Least Common Multiple of 724,688 with GCF Formula

Least Common Multiple of 724,688 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 724,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,688) = 4

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

GCF(724,688) x common factors =4 x 1 = 4

LCM(724,688) = ( 724 × 688 ) / 4

LCM(724,688) = 498112 / 4

LCM(724,688) = 124528


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FAQs on GCF of Fractions of 2134/724, 6827/688

1. What is the HCF of 2134,6827?

The HCF of 2134,6827 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 2134/724, 6827/688?

Answer: GCF of Numerators as per given numbers 2134/724, 6827/688 is

GCF of Numerators i.e. for 2134,6827 is 1

LCM of denominators i.e. for 724,688 is 124528.

Thus, GCF of Fractions is 1/124528.Finally, GCF of Fractions for 2134/724, 6827/688 is 1/124528.