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GCF of 555/280, 254/312

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 555/280, 254/312 i.e 1/10920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 555/280, 254/312.

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 555/280,254/312?

Given fractions are 555/280,254/312

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 555/280,254/312, numerators are 555,254

Denominators are 280,312

The GCF of 555,254 is 1 .

LCM of 280,312 is 10920.

The greatest common factor of 555/280,254/312 = [GCF of 555,254]/[LCM of 280,312]= 1/10920

Therefore, the GCF of 555/280,254/312 is 1/10920.

Greatest Common Factor of 555,254

To find the highest common factor of 555,254, we have to find the factors of both numbers and list the highest common factor.

The factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555

The factors of 254 are 1, 2, 127, 254

The HCF of 555,254 is 1.

Lets's calculate GCF of 555,254

Greatest Common Factor (GCF) of 555,254 By Common Division

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

Greatest Common Factor of 555,254 By Matching Biggest Common Factor Method

Greatest Common Factor of 555,254 By Matching Biggest Common Factor Method

Now, list down the factors of 555

:

1,3,5,15,37,111,185,555

Now, list down the factors of 254

:

1,2,127,254

Greatest Common Factor

We found the factors 555,254 . The biggest common factor number is the GCF number.
So the greatest common factor 555,254 is 1.

Lets's calculate LCM of 280,312

Lowest Common Multiple of 280,312 using Common Division

2 280, 312
2 140, 156
2 70, 78
35, 39

∴ So the LCM of the given numbers is 2 x 2 x 2 x 35 x 39 = 10920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10920

Therefore, the GCF of Fractions 555/280,254/312 is 1/10920

Least Common Multiple of 280,312 with GCF Formula

Least Common Multiple of 280,312 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 280,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,312) = 8

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

GCF(280,312) x common factors =8 x 1 = 8

LCM(280,312) = ( 280 × 312 ) / 8

LCM(280,312) = 87360 / 8

LCM(280,312) = 10920


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FAQs on GCF of Fractions of 555/280, 254/312

1. What is the HCF of 555,254?

The HCF of 555,254 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 555/280, 254/312?

Answer: GCF of Numerators as per given numbers 555/280, 254/312 is

GCF of Numerators i.e. for 555,254 is 1

LCM of denominators i.e. for 280,312 is 10920.

Thus, GCF of Fractions is 1/10920.Finally, GCF of Fractions for 555/280, 254/312 is 1/10920.