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GCF of 918/59, 280/359

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 918/59, 280/359 i.e 2/21181 easily. The following is the detailed procedure to determine the greatest common factor of fractions 918/59, 280/359.

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 918/59,280/359?

Given fractions are 918/59,280/359

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 918/59,280/359, numerators are 918,280

Denominators are 59,359

The GCF of 918,280 is 2 .

LCM of 59,359 is 21181.

The greatest common factor of 918/59,280/359 = [GCF of 918,280]/[LCM of 59,359]= 2/21181

Therefore, the GCF of 918/59,280/359 is 2/21181.

Greatest Common Factor of 918,280

To find the highest common factor of 918,280, we have to find the factors of both numbers and list the highest common factor.

The factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

The factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

The HCF of 918,280 is 2.

Lets's calculate GCF of 918,280

Greatest Common Factor (GCF) of 918,280 By Common Division

2 918, 280
459, 140

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 918,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,280 By Matching Biggest Common Factor Method

Now, list down the factors of 918

:

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Now, list down the factors of 280

:

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 918,280 . The biggest common factor number is the GCF number.
So the greatest common factor 918,280 is 2.

Lets's calculate LCM of 59,359

Lowest Common Multiple of 59,359 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 21181

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21181

Therefore, the GCF of Fractions 918/59,280/359 is 2/21181

Least Common Multiple of 59,359 with GCF Formula

Least Common Multiple of 59,359 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 59,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,359) = 1

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

GCF(59,359) x common factors =1 x 1 = 1

LCM(59,359) = ( 59 × 359 ) / 1

LCM(59,359) = 21181 / 1

LCM(59,359) = 21181


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FAQs on GCF of Fractions of 918/59, 280/359

1. What is the HCF of 918,280?

The HCF of 918,280 is 2

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 918/59, 280/359?

Answer: GCF of Numerators as per given numbers 918/59, 280/359 is

GCF of Numerators i.e. for 918,280 is 2

LCM of denominators i.e. for 59,359 is 21181.

Thus, GCF of Fractions is 2/21181.Finally, GCF of Fractions for 918/59, 280/359 is 2/21181.