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GCF of 265/208, 1559/348

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 265/208, 1559/348 i.e 1/18096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 265/208, 1559/348.

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 265/208,1559/348?

Given fractions are 265/208,1559/348

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 265/208,1559/348, numerators are 265,1559

Denominators are 208,348

The GCF of 265,1559 is 1 .

LCM of 208,348 is 18096.

The greatest common factor of 265/208,1559/348 = [GCF of 265,1559]/[LCM of 208,348]= 1/18096

Therefore, the GCF of 265/208,1559/348 is 1/18096.

Greatest Common Factor of 265,1559

To find the highest common factor of 265,1559, we have to find the factors of both numbers and list the highest common factor.

The factors of 265 are 1, 5, 53, 265

The factors of 1559 are 1, 1559

The HCF of 265,1559 is 1.

Lets's calculate GCF of 265,1559

Greatest Common Factor (GCF) of 265,1559 By Common Division

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

Greatest Common Factor of 265,1559 By Matching Biggest Common Factor Method

Greatest Common Factor of 265,1559 By Matching Biggest Common Factor Method

Now, list down the factors of 265

:

1,5,53,265

Now, list down the factors of 1559

:

1,1559

Greatest Common Factor

We found the factors 265,1559 . The biggest common factor number is the GCF number.
So the greatest common factor 265,1559 is 1.

Lets's calculate LCM of 208,348

Lowest Common Multiple of 208,348 using Common Division

2 208, 348
2 104, 174
52, 87

∴ So the LCM of the given numbers is 2 x 2 x 52 x 87 = 18096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18096

Therefore, the GCF of Fractions 265/208,1559/348 is 1/18096

Least Common Multiple of 208,348 with GCF Formula

Least Common Multiple of 208,348 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 208,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,348) = 4

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

GCF(208,348) x common factors =4 x 1 = 4

LCM(208,348) = ( 208 × 348 ) / 4

LCM(208,348) = 72384 / 4

LCM(208,348) = 18096


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FAQs on GCF of Fractions of 265/208, 1559/348

1. What is the HCF of 265,1559?

The HCF of 265,1559 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 265/208, 1559/348?

Answer: GCF of Numerators as per given numbers 265/208, 1559/348 is

GCF of Numerators i.e. for 265,1559 is 1

LCM of denominators i.e. for 208,348 is 18096.

Thus, GCF of Fractions is 1/18096.Finally, GCF of Fractions for 265/208, 1559/348 is 1/18096.