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GCF of 554/284, 278/697

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 554/284, 278/697 i.e 2/197948 easily. The following is the detailed procedure to determine the greatest common factor of fractions 554/284, 278/697.

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 554/284,278/697?

Given fractions are 554/284,278/697

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 554/284,278/697, numerators are 554,278

Denominators are 284,697

The GCF of 554,278 is 2 .

LCM of 284,697 is 197948.

The greatest common factor of 554/284,278/697 = [GCF of 554,278]/[LCM of 284,697]= 2/197948

Therefore, the GCF of 554/284,278/697 is 2/197948.

Greatest Common Factor of 554,278

To find the highest common factor of 554,278, we have to find the factors of both numbers and list the highest common factor.

The factors of 554 are 1, 2, 277, 554

The factors of 278 are 1, 2, 139, 278

The HCF of 554,278 is 2.

Lets's calculate GCF of 554,278

Greatest Common Factor (GCF) of 554,278 By Common Division

2 554, 278
277, 139

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 554,278 By Matching Biggest Common Factor Method

Greatest Common Factor of 554,278 By Matching Biggest Common Factor Method

Now, list down the factors of 554

:

1,2,277,554

Now, list down the factors of 278

:

1,2,139,278

Greatest Common Factor

We found the factors 554,278 . The biggest common factor number is the GCF number.
So the greatest common factor 554,278 is 2.

Lets's calculate LCM of 284,697

Lowest Common Multiple of 284,697 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 197948

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/197948

Therefore, the GCF of Fractions 554/284,278/697 is 2/197948

Least Common Multiple of 284,697 with GCF Formula

Least Common Multiple of 284,697 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 284,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,697) = 1

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

GCF(284,697) x common factors =1 x 1 = 1

LCM(284,697) = ( 284 × 697 ) / 1

LCM(284,697) = 197948 / 1

LCM(284,697) = 197948


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FAQs on GCF of Fractions of 554/284, 278/697

1. What is the HCF of 554,278?

The HCF of 554,278 is 2

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 554/284, 278/697?

Answer: GCF of Numerators as per given numbers 554/284, 278/697 is

GCF of Numerators i.e. for 554,278 is 2

LCM of denominators i.e. for 284,697 is 197948.

Thus, GCF of Fractions is 2/197948.Finally, GCF of Fractions for 554/284, 278/697 is 2/197948.