How to Find GCF of 5567/416, 4521/5976?

GCF of 5567/416, 4521/5976

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 5567/416, 4521/5976 i.e 1/310752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5567/416, 4521/5976.

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 5567/416,4521/5976?

Given fractions are 5567/416,4521/5976

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 5567/416,4521/5976, numerators are 5567,4521

Denominators are 416,5976

The GCF of 5567,4521 is 1 .

LCM of 416,5976 is 310752.

The greatest common factor of 5567/416,4521/5976 = [GCF of 5567,4521]/[LCM of 416,5976]= 1/310752

Therefore, the GCF of 5567/416,4521/5976 is 1/310752.

Greatest Common Factor of 5567,4521

To find the highest common factor of 5567,4521, we have to find the factors of both numbers and list the highest common factor.

The factors of 5567 are 1, 19, 293, 5567

The factors of 4521 are 1, 3, 11, 33, 137, 411, 1507, 4521

The HCF of 5567,4521 is 1.

Lets's calculate GCF of 5567,4521

Greatest Common Factor (GCF) of 5567,4521 By Common Division

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

Greatest Common Factor of 5567,4521 By Matching Biggest Common Factor Method

Now, list down the factors of 5567

1,19,293,5567

Now, list down the factors of 4521

1,3,11,33,137,411,1507,4521

Greatest Common Factor

We found the factors 5567,4521 . The biggest common factor number is the GCF number.
So the greatest common factor 5567,4521 is 1.

Lets's calculate LCM of 416,5976

Lowest Common Multiple of 416,5976 using Common Division

2	416, 5976
2	208, 2988
2	104, 1494
	52, 747

∴ So the LCM of the given numbers is 2 x 2 x 2 x 52 x 747 = 310752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/310752

Therefore, the GCF of Fractions 5567/416,4521/5976 is 1/310752

Least Common Multiple of 416,5976 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 416,5976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,5976) = 8

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

GCF(416,5976) x common factors =8 x 1 = 8

LCM(416,5976) = ( 416 × 5976 ) / 8

LCM(416,5976) = 2486016 / 8

LCM(416,5976) = 310752

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FAQs on GCF of Fractions of 5567/416, 4521/5976

1. What is the HCF of 5567,4521?

The HCF of 5567,4521 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 5567/416, 4521/5976?

Answer: GCF of Numerators as per given numbers 5567/416, 4521/5976 is

GCF of Numerators i.e. for 5567,4521 is 1

LCM of denominators i.e. for 416,5976 is 310752.

Thus, GCF of Fractions is 1/310752.Finally, GCF of Fractions for 5567/416, 4521/5976 is 1/310752.