How to Find GCF of 6310/893, 5650/7921?

GCF of 6310/893, 5650/7921

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 6310/893, 5650/7921 i.e 10/7073453 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6310/893, 5650/7921.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 6310/893,5650/7921?

Given fractions are 6310/893,5650/7921

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 6310/893,5650/7921, numerators are 6310,5650

Denominators are 893,7921

The GCF of 6310,5650 is 10 .

LCM of 893,7921 is 7073453.

The greatest common factor of 6310/893,5650/7921 = [GCF of 6310,5650]/[LCM of 893,7921]= 10/7073453

Therefore, the GCF of 6310/893,5650/7921 is 10/7073453.

Greatest Common Factor of 6310,5650

To find the highest common factor of 6310,5650, we have to find the factors of both numbers and list the highest common factor.

The factors of 6310 are 1, 2, 5, 10, 631, 1262, 3155, 6310

The factors of 5650 are 1, 2, 5, 10, 25, 50, 113, 226, 565, 1130, 2825, 5650

The HCF of 6310,5650 is 10.

Lets's calculate GCF of 6310,5650

Greatest Common Factor (GCF) of 6310,5650 By Common Division

2	6310, 5650
5	3155, 2825
	631, 565

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 6310,5650 By Matching Biggest Common Factor Method

Now, list down the factors of 6310

1,2,5,10,631,1262,3155,6310

Now, list down the factors of 5650

1,2,5,10,25,50,113,226,565,1130,2825,5650

Greatest Common Factor

We found the factors 6310,5650 . The biggest common factor number is the GCF number.
So the greatest common factor 6310,5650 is 10.

Lets's calculate LCM of 893,7921

Lowest Common Multiple of 893,7921 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7073453

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/7073453

Therefore, the GCF of Fractions 6310/893,5650/7921 is 10/7073453

Least Common Multiple of 893,7921 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 893,7921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(893,7921) = 1

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

GCF(893,7921) x common factors =1 x 1 = 1

LCM(893,7921) = ( 893 × 7921 ) / 1

LCM(893,7921) = 7073453 / 1

LCM(893,7921) = 7073453

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FAQs on GCF of Fractions of 6310/893, 5650/7921

1. What is the HCF of 6310,5650?

The HCF of 6310,5650 is 10

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 6310/893, 5650/7921?

Answer: GCF of Numerators as per given numbers 6310/893, 5650/7921 is

GCF of Numerators i.e. for 6310,5650 is 10

LCM of denominators i.e. for 893,7921 is 7073453.

Thus, GCF of Fractions is 10/7073453.Finally, GCF of Fractions for 6310/893, 5650/7921 is 10/7073453.