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GCF of 7907/310, 8825/5514

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 7907/310, 8825/5514 i.e 1/854670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7907/310, 8825/5514.

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 7907/310,8825/5514?

Given fractions are 7907/310,8825/5514

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 7907/310,8825/5514, numerators are 7907,8825

Denominators are 310,5514

The GCF of 7907,8825 is 1 .

LCM of 310,5514 is 854670.

The greatest common factor of 7907/310,8825/5514 = [GCF of 7907,8825]/[LCM of 310,5514]= 1/854670

Therefore, the GCF of 7907/310,8825/5514 is 1/854670.

Greatest Common Factor of 7907,8825

To find the highest common factor of 7907,8825, we have to find the factors of both numbers and list the highest common factor.

The factors of 7907 are 1, 7907

The factors of 8825 are 1, 5, 25, 353, 1765, 8825

The HCF of 7907,8825 is 1.

Lets's calculate GCF of 7907,8825

Greatest Common Factor (GCF) of 7907,8825 By Common Division

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

Greatest Common Factor of 7907,8825 By Matching Biggest Common Factor Method

Greatest Common Factor of 7907,8825 By Matching Biggest Common Factor Method

Now, list down the factors of 7907

:

1,7907

Now, list down the factors of 8825

:

1,5,25,353,1765,8825

Greatest Common Factor

We found the factors 7907,8825 . The biggest common factor number is the GCF number.
So the greatest common factor 7907,8825 is 1.

Lets's calculate LCM of 310,5514

Lowest Common Multiple of 310,5514 using Common Division

2 310, 5514
155, 2757

∴ So the LCM of the given numbers is 2 x 155 x 2757 = 854670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/854670

Therefore, the GCF of Fractions 7907/310,8825/5514 is 1/854670

Least Common Multiple of 310,5514 with GCF Formula

Least Common Multiple of 310,5514 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 310,5514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,5514) = 2

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

GCF(310,5514) x common factors =2 x 1 = 2

LCM(310,5514) = ( 310 × 5514 ) / 2

LCM(310,5514) = 1709340 / 2

LCM(310,5514) = 854670


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FAQs on GCF of Fractions of 7907/310, 8825/5514

1. What is the HCF of 7907,8825?

The HCF of 7907,8825 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 7907/310, 8825/5514?

Answer: GCF of Numerators as per given numbers 7907/310, 8825/5514 is

GCF of Numerators i.e. for 7907,8825 is 1

LCM of denominators i.e. for 310,5514 is 854670.

Thus, GCF of Fractions is 1/854670.Finally, GCF of Fractions for 7907/310, 8825/5514 is 1/854670.