How to Find GCF of 4552/881, 6756/9109?

GCF of 4552/881, 6756/9109

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 4552/881, 6756/9109 i.e 4/8025029 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4552/881, 6756/9109.

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 4552/881,6756/9109?

Given fractions are 4552/881,6756/9109

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 4552/881,6756/9109, numerators are 4552,6756

Denominators are 881,9109

The GCF of 4552,6756 is 4 .

LCM of 881,9109 is 8025029.

The greatest common factor of 4552/881,6756/9109 = [GCF of 4552,6756]/[LCM of 881,9109]= 4/8025029

Therefore, the GCF of 4552/881,6756/9109 is 4/8025029.

Greatest Common Factor of 4552,6756

To find the highest common factor of 4552,6756, we have to find the factors of both numbers and list the highest common factor.

The factors of 4552 are 1, 2, 4, 8, 569, 1138, 2276, 4552

The factors of 6756 are 1, 2, 3, 4, 6, 12, 563, 1126, 1689, 2252, 3378, 6756

The HCF of 4552,6756 is 4.

Lets's calculate GCF of 4552,6756

Greatest Common Factor (GCF) of 4552,6756 By Common Division

2	4552, 6756
2	2276, 3378
	1138, 1689

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4552,6756 By Matching Biggest Common Factor Method

Now, list down the factors of 4552

1,2,4,8,569,1138,2276,4552

Now, list down the factors of 6756

1,2,3,4,6,12,563,1126,1689,2252,3378,6756

Greatest Common Factor

We found the factors 4552,6756 . The biggest common factor number is the GCF number.
So the greatest common factor 4552,6756 is 4.

Lets's calculate LCM of 881,9109

Lowest Common Multiple of 881,9109 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8025029

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/8025029

Therefore, the GCF of Fractions 4552/881,6756/9109 is 4/8025029

Least Common Multiple of 881,9109 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 881,9109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(881,9109) = 1

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

GCF(881,9109) x common factors =1 x 1 = 1

LCM(881,9109) = ( 881 × 9109 ) / 1

LCM(881,9109) = 8025029 / 1

LCM(881,9109) = 8025029

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FAQs on GCF of Fractions of 4552/881, 6756/9109

1. What is the HCF of 4552,6756?

The HCF of 4552,6756 is 4

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 4552/881, 6756/9109?

Answer: GCF of Numerators as per given numbers 4552/881, 6756/9109 is

GCF of Numerators i.e. for 4552,6756 is 4

LCM of denominators i.e. for 881,9109 is 8025029.

Thus, GCF of Fractions is 4/8025029.Finally, GCF of Fractions for 4552/881, 6756/9109 is 4/8025029.