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GCF of 385/359, 538/618

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 385/359, 538/618 i.e 1/221862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 385/359, 538/618.

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 385/359,538/618?

Given fractions are 385/359,538/618

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 385/359,538/618, numerators are 385,538

Denominators are 359,618

The GCF of 385,538 is 1 .

LCM of 359,618 is 221862.

The greatest common factor of 385/359,538/618 = [GCF of 385,538]/[LCM of 359,618]= 1/221862

Therefore, the GCF of 385/359,538/618 is 1/221862.

Greatest Common Factor of 385,538

To find the highest common factor of 385,538, we have to find the factors of both numbers and list the highest common factor.

The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385

The factors of 538 are 1, 2, 269, 538

The HCF of 385,538 is 1.

Lets's calculate GCF of 385,538

Greatest Common Factor (GCF) of 385,538 By Common Division

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

Greatest Common Factor of 385,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,538 By Matching Biggest Common Factor Method

Now, list down the factors of 385

:

1,5,7,11,35,55,77,385

Now, list down the factors of 538

:

1,2,269,538

Greatest Common Factor

We found the factors 385,538 . The biggest common factor number is the GCF number.
So the greatest common factor 385,538 is 1.

Lets's calculate LCM of 359,618

Lowest Common Multiple of 359,618 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 221862

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/221862

Therefore, the GCF of Fractions 385/359,538/618 is 1/221862

Least Common Multiple of 359,618 with GCF Formula

Least Common Multiple of 359,618 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 359,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,618) = 1

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

GCF(359,618) x common factors =1 x 1 = 1

LCM(359,618) = ( 359 × 618 ) / 1

LCM(359,618) = 221862 / 1

LCM(359,618) = 221862


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FAQs on GCF of Fractions of 385/359, 538/618

1. What is the HCF of 385,538?

The HCF of 385,538 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 385/359, 538/618?

Answer: GCF of Numerators as per given numbers 385/359, 538/618 is

GCF of Numerators i.e. for 385,538 is 1

LCM of denominators i.e. for 359,618 is 221862.

Thus, GCF of Fractions is 1/221862.Finally, GCF of Fractions for 385/359, 538/618 is 1/221862.