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GCF of 9554/310, 3539/931

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 9554/310, 3539/931 i.e 1/288610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9554/310, 3539/931.

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 9554/310,3539/931?

Given fractions are 9554/310,3539/931

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 9554/310,3539/931, numerators are 9554,3539

Denominators are 310,931

The GCF of 9554,3539 is 1 .

LCM of 310,931 is 288610.

The greatest common factor of 9554/310,3539/931 = [GCF of 9554,3539]/[LCM of 310,931]= 1/288610

Therefore, the GCF of 9554/310,3539/931 is 1/288610.

Greatest Common Factor of 9554,3539

To find the highest common factor of 9554,3539, we have to find the factors of both numbers and list the highest common factor.

The factors of 9554 are 1, 2, 17, 34, 281, 562, 4777, 9554

The factors of 3539 are 1, 3539

The HCF of 9554,3539 is 1.

Lets's calculate GCF of 9554,3539

Greatest Common Factor (GCF) of 9554,3539 By Common Division

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

Greatest Common Factor of 9554,3539 By Matching Biggest Common Factor Method

Greatest Common Factor of 9554,3539 By Matching Biggest Common Factor Method

Now, list down the factors of 9554

:

1,2,17,34,281,562,4777,9554

Now, list down the factors of 3539

:

1,3539

Greatest Common Factor

We found the factors 9554,3539 . The biggest common factor number is the GCF number.
So the greatest common factor 9554,3539 is 1.

Lets's calculate LCM of 310,931

Lowest Common Multiple of 310,931 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 288610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/288610

Therefore, the GCF of Fractions 9554/310,3539/931 is 1/288610

Least Common Multiple of 310,931 with GCF Formula

Least Common Multiple of 310,931 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 310,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,931) = 1

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

GCF(310,931) x common factors =1 x 1 = 1

LCM(310,931) = ( 310 × 931 ) / 1

LCM(310,931) = 288610 / 1

LCM(310,931) = 288610


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FAQs on GCF of Fractions of 9554/310, 3539/931

1. What is the HCF of 9554,3539?

The HCF of 9554,3539 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 9554/310, 3539/931?

Answer: GCF of Numerators as per given numbers 9554/310, 3539/931 is

GCF of Numerators i.e. for 9554,3539 is 1

LCM of denominators i.e. for 310,931 is 288610.

Thus, GCF of Fractions is 1/288610.Finally, GCF of Fractions for 9554/310, 3539/931 is 1/288610.