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GCF of 9745/487, 5879/6216

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 9745/487, 5879/6216 i.e 1/3027192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9745/487, 5879/6216.

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 9745/487,5879/6216?

Given fractions are 9745/487,5879/6216

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 9745/487,5879/6216, numerators are 9745,5879

Denominators are 487,6216

The GCF of 9745,5879 is 1 .

LCM of 487,6216 is 3027192.

The greatest common factor of 9745/487,5879/6216 = [GCF of 9745,5879]/[LCM of 487,6216]= 1/3027192

Therefore, the GCF of 9745/487,5879/6216 is 1/3027192.

Greatest Common Factor of 9745,5879

To find the highest common factor of 9745,5879, we have to find the factors of both numbers and list the highest common factor.

The factors of 9745 are 1, 5, 1949, 9745

The factors of 5879 are 1, 5879

The HCF of 9745,5879 is 1.

Lets's calculate GCF of 9745,5879

Greatest Common Factor (GCF) of 9745,5879 By Common Division

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

Greatest Common Factor of 9745,5879 By Matching Biggest Common Factor Method

Greatest Common Factor of 9745,5879 By Matching Biggest Common Factor Method

Now, list down the factors of 9745

:

1,5,1949,9745

Now, list down the factors of 5879

:

1,5879

Greatest Common Factor

We found the factors 9745,5879 . The biggest common factor number is the GCF number.
So the greatest common factor 9745,5879 is 1.

Lets's calculate LCM of 487,6216

Lowest Common Multiple of 487,6216 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3027192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3027192

Therefore, the GCF of Fractions 9745/487,5879/6216 is 1/3027192

Least Common Multiple of 487,6216 with GCF Formula

Least Common Multiple of 487,6216 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 487,6216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(487,6216) = 1

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

GCF(487,6216) x common factors =1 x 1 = 1

LCM(487,6216) = ( 487 × 6216 ) / 1

LCM(487,6216) = 3027192 / 1

LCM(487,6216) = 3027192


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FAQs on GCF of Fractions of 9745/487, 5879/6216

1. What is the HCF of 9745,5879?

The HCF of 9745,5879 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 9745/487, 5879/6216?

Answer: GCF of Numerators as per given numbers 9745/487, 5879/6216 is

GCF of Numerators i.e. for 9745,5879 is 1

LCM of denominators i.e. for 487,6216 is 3027192.

Thus, GCF of Fractions is 1/3027192.Finally, GCF of Fractions for 9745/487, 5879/6216 is 1/3027192.