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GCF of 537/177, 307/300

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 537/177, 307/300 i.e 1/17700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 537/177, 307/300.

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 537/177,307/300?

Given fractions are 537/177,307/300

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 537/177,307/300, numerators are 537,307

Denominators are 177,300

The GCF of 537,307 is 1 .

LCM of 177,300 is 17700.

The greatest common factor of 537/177,307/300 = [GCF of 537,307]/[LCM of 177,300]= 1/17700

Therefore, the GCF of 537/177,307/300 is 1/17700.

Greatest Common Factor of 537,307

To find the highest common factor of 537,307, we have to find the factors of both numbers and list the highest common factor.

The factors of 537 are 1, 3, 179, 537

The factors of 307 are 1, 307

The HCF of 537,307 is 1.

Lets's calculate GCF of 537,307

Greatest Common Factor (GCF) of 537,307 By Common Division

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

Greatest Common Factor of 537,307 By Matching Biggest Common Factor Method

Greatest Common Factor of 537,307 By Matching Biggest Common Factor Method

Now, list down the factors of 537

:

1,3,179,537

Now, list down the factors of 307

:

1,307

Greatest Common Factor

We found the factors 537,307 . The biggest common factor number is the GCF number.
So the greatest common factor 537,307 is 1.

Lets's calculate LCM of 177,300

Lowest Common Multiple of 177,300 using Common Division

3 177, 300
59, 100

∴ So the LCM of the given numbers is 3 x 59 x 100 = 17700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17700

Therefore, the GCF of Fractions 537/177,307/300 is 1/17700

Least Common Multiple of 177,300 with GCF Formula

Least Common Multiple of 177,300 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 177,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(177,300) = 3

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

GCF(177,300) x common factors =3 x 1 = 3

LCM(177,300) = ( 177 × 300 ) / 3

LCM(177,300) = 53100 / 3

LCM(177,300) = 17700


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FAQs on GCF of Fractions of 537/177, 307/300

1. What is the HCF of 537,307?

The HCF of 537,307 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 537/177, 307/300?

Answer: GCF of Numerators as per given numbers 537/177, 307/300 is

GCF of Numerators i.e. for 537,307 is 1

LCM of denominators i.e. for 177,300 is 17700.

Thus, GCF of Fractions is 1/17700.Finally, GCF of Fractions for 537/177, 307/300 is 1/17700.