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GCF of 7487/356, 1145/4375

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 7487/356, 1145/4375 i.e 1/1557500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7487/356, 1145/4375.

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 7487/356,1145/4375?

Given fractions are 7487/356,1145/4375

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 7487/356,1145/4375, numerators are 7487,1145

Denominators are 356,4375

The GCF of 7487,1145 is 1 .

LCM of 356,4375 is 1557500.

The greatest common factor of 7487/356,1145/4375 = [GCF of 7487,1145]/[LCM of 356,4375]= 1/1557500

Therefore, the GCF of 7487/356,1145/4375 is 1/1557500.

Greatest Common Factor of 7487,1145

To find the highest common factor of 7487,1145, we have to find the factors of both numbers and list the highest common factor.

The factors of 7487 are 1, 7487

The factors of 1145 are 1, 5, 229, 1145

The HCF of 7487,1145 is 1.

Lets's calculate GCF of 7487,1145

Greatest Common Factor (GCF) of 7487,1145 By Common Division

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

Greatest Common Factor of 7487,1145 By Matching Biggest Common Factor Method

Greatest Common Factor of 7487,1145 By Matching Biggest Common Factor Method

Now, list down the factors of 7487

:

1,7487

Now, list down the factors of 1145

:

1,5,229,1145

Greatest Common Factor

We found the factors 7487,1145 . The biggest common factor number is the GCF number.
So the greatest common factor 7487,1145 is 1.

Lets's calculate LCM of 356,4375

Lowest Common Multiple of 356,4375 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1557500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1557500

Therefore, the GCF of Fractions 7487/356,1145/4375 is 1/1557500

Least Common Multiple of 356,4375 with GCF Formula

Least Common Multiple of 356,4375 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 356,4375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(356,4375) = 1

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

GCF(356,4375) x common factors =1 x 1 = 1

LCM(356,4375) = ( 356 × 4375 ) / 1

LCM(356,4375) = 1557500 / 1

LCM(356,4375) = 1557500


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FAQs on GCF of Fractions of 7487/356, 1145/4375

1. What is the HCF of 7487,1145?

The HCF of 7487,1145 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 7487/356, 1145/4375?

Answer: GCF of Numerators as per given numbers 7487/356, 1145/4375 is

GCF of Numerators i.e. for 7487,1145 is 1

LCM of denominators i.e. for 356,4375 is 1557500.

Thus, GCF of Fractions is 1/1557500.Finally, GCF of Fractions for 7487/356, 1145/4375 is 1/1557500.