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GCF of 551/978, 5653/954

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 551/978, 5653/954 i.e 1/155502 easily. The following is the detailed procedure to determine the greatest common factor of fractions 551/978, 5653/954.

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 551/978,5653/954?

Given fractions are 551/978,5653/954

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 551/978,5653/954, numerators are 551,5653

Denominators are 978,954

The GCF of 551,5653 is 1 .

LCM of 978,954 is 155502.

The greatest common factor of 551/978,5653/954 = [GCF of 551,5653]/[LCM of 978,954]= 1/155502

Therefore, the GCF of 551/978,5653/954 is 1/155502.

Greatest Common Factor of 551,5653

To find the highest common factor of 551,5653, we have to find the factors of both numbers and list the highest common factor.

The factors of 551 are 1, 19, 29, 551

The factors of 5653 are 1, 5653

The HCF of 551,5653 is 1.

Lets's calculate GCF of 551,5653

Greatest Common Factor (GCF) of 551,5653 By Common Division

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

Greatest Common Factor of 551,5653 By Matching Biggest Common Factor Method

Greatest Common Factor of 551,5653 By Matching Biggest Common Factor Method

Now, list down the factors of 551

:

1,19,29,551

Now, list down the factors of 5653

:

1,5653

Greatest Common Factor

We found the factors 551,5653 . The biggest common factor number is the GCF number.
So the greatest common factor 551,5653 is 1.

Lets's calculate LCM of 978,954

Lowest Common Multiple of 978,954 using Common Division

2 978, 954
3 489, 477
163, 159

∴ So the LCM of the given numbers is 2 x 3 x 163 x 159 = 155502

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155502

Therefore, the GCF of Fractions 551/978,5653/954 is 1/155502

Least Common Multiple of 978,954 with GCF Formula

Least Common Multiple of 978,954 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 978,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,954) = 6

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

GCF(978,954) x common factors =6 x 1 = 6

LCM(978,954) = ( 978 × 954 ) / 6

LCM(978,954) = 933012 / 6

LCM(978,954) = 155502


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FAQs on GCF of Fractions of 551/978, 5653/954

1. What is the HCF of 551,5653?

The HCF of 551,5653 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 551/978, 5653/954?

Answer: GCF of Numerators as per given numbers 551/978, 5653/954 is

GCF of Numerators i.e. for 551,5653 is 1

LCM of denominators i.e. for 978,954 is 155502.

Thus, GCF of Fractions is 1/155502.Finally, GCF of Fractions for 551/978, 5653/954 is 1/155502.