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GCF of 592/298, 151/555

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 592/298, 151/555 i.e 1/165390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 592/298, 151/555.

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 592/298,151/555?

Given fractions are 592/298,151/555

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 592/298,151/555, numerators are 592,151

Denominators are 298,555

The GCF of 592,151 is 1 .

LCM of 298,555 is 165390.

The greatest common factor of 592/298,151/555 = [GCF of 592,151]/[LCM of 298,555]= 1/165390

Therefore, the GCF of 592/298,151/555 is 1/165390.

Greatest Common Factor of 592,151

To find the highest common factor of 592,151, we have to find the factors of both numbers and list the highest common factor.

The factors of 592 are 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

The factors of 151 are 1, 151

The HCF of 592,151 is 1.

Lets's calculate GCF of 592,151

Greatest Common Factor (GCF) of 592,151 By Common Division

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

Greatest Common Factor of 592,151 By Matching Biggest Common Factor Method

Greatest Common Factor of 592,151 By Matching Biggest Common Factor Method

Now, list down the factors of 592

:

1,2,4,8,16,37,74,148,296,592

Now, list down the factors of 151

:

1,151

Greatest Common Factor

We found the factors 592,151 . The biggest common factor number is the GCF number.
So the greatest common factor 592,151 is 1.

Lets's calculate LCM of 298,555

Lowest Common Multiple of 298,555 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 165390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/165390

Therefore, the GCF of Fractions 592/298,151/555 is 1/165390

Least Common Multiple of 298,555 with GCF Formula

Least Common Multiple of 298,555 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 298,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,555) = 1

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

GCF(298,555) x common factors =1 x 1 = 1

LCM(298,555) = ( 298 × 555 ) / 1

LCM(298,555) = 165390 / 1

LCM(298,555) = 165390


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FAQs on GCF of Fractions of 592/298, 151/555

1. What is the HCF of 592,151?

The HCF of 592,151 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 592/298, 151/555?

Answer: GCF of Numerators as per given numbers 592/298, 151/555 is

GCF of Numerators i.e. for 592,151 is 1

LCM of denominators i.e. for 298,555 is 165390.

Thus, GCF of Fractions is 1/165390.Finally, GCF of Fractions for 592/298, 151/555 is 1/165390.