How to Find GCF of 554/677, 8629/5374?

GCF of 554/677, 8629/5374

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 554/677, 8629/5374 i.e 1/3638198 easily. The following is the detailed procedure to determine the greatest common factor of fractions 554/677, 8629/5374.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 554/677,8629/5374?

Given fractions are 554/677,8629/5374

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 554/677,8629/5374, numerators are 554,8629

Denominators are 677,5374

The GCF of 554,8629 is 1 .

LCM of 677,5374 is 3638198.

The greatest common factor of 554/677,8629/5374 = [GCF of 554,8629]/[LCM of 677,5374]= 1/3638198

Therefore, the GCF of 554/677,8629/5374 is 1/3638198.

Greatest Common Factor of 554,8629

To find the highest common factor of 554,8629, 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 8629 are 1, 8629

The HCF of 554,8629 is 1.

Lets's calculate GCF of 554,8629

Greatest Common Factor (GCF) of 554,8629 By Common Division

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

Greatest Common Factor of 554,8629 By Matching Biggest Common Factor Method

Now, list down the factors of 554

1,2,277,554

Now, list down the factors of 8629

1,8629

Greatest Common Factor

We found the factors 554,8629 . The biggest common factor number is the GCF number.
So the greatest common factor 554,8629 is 1.

Lets's calculate LCM of 677,5374

Lowest Common Multiple of 677,5374 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3638198

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3638198

Therefore, the GCF of Fractions 554/677,8629/5374 is 1/3638198

Least Common Multiple of 677,5374 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 677,5374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,5374) = 1

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

GCF(677,5374) x common factors =1 x 1 = 1

LCM(677,5374) = ( 677 × 5374 ) / 1

LCM(677,5374) = 3638198 / 1

LCM(677,5374) = 3638198

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FAQs on GCF of Fractions of 554/677, 8629/5374

1. What is the HCF of 554,8629?

The HCF of 554,8629 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 554/677, 8629/5374?

Answer: GCF of Numerators as per given numbers 554/677, 8629/5374 is

GCF of Numerators i.e. for 554,8629 is 1

LCM of denominators i.e. for 677,5374 is 3638198.

Thus, GCF of Fractions is 1/3638198.Finally, GCF of Fractions for 554/677, 8629/5374 is 1/3638198.