How to Find GCF of 8874/924, 7076/6554?

GCF of 8874/924, 7076/6554

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 8874/924, 7076/6554 i.e 58/3027948 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8874/924, 7076/6554.

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 8874/924,7076/6554?

Given fractions are 8874/924,7076/6554

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 8874/924,7076/6554, numerators are 8874,7076

Denominators are 924,6554

The GCF of 8874,7076 is 58 .

LCM of 924,6554 is 3027948.

The greatest common factor of 8874/924,7076/6554 = [GCF of 8874,7076]/[LCM of 924,6554]= 58/3027948

Therefore, the GCF of 8874/924,7076/6554 is 58/3027948.

Greatest Common Factor of 8874,7076

To find the highest common factor of 8874,7076, we have to find the factors of both numbers and list the highest common factor.

The factors of 8874 are 1, 2, 3, 6, 9, 17, 18, 29, 34, 51, 58, 87, 102, 153, 174, 261, 306, 493, 522, 986, 1479, 2958, 4437, 8874

The factors of 7076 are 1, 2, 4, 29, 58, 61, 116, 122, 244, 1769, 3538, 7076

The HCF of 8874,7076 is 58.

Lets's calculate GCF of 8874,7076

Greatest Common Factor (GCF) of 8874,7076 By Common Division

2	8874, 7076
29	4437, 3538
	153, 122

∴ So the GCF of the given numbers is 2 x 29 = 58

Greatest Common Factor of 8874,7076 By Matching Biggest Common Factor Method

Now, list down the factors of 8874

1,2,3,6,9,17,18,29,34,51,58,87,102,153,174,261,306,493,522,986,1479,2958,4437,8874

Now, list down the factors of 7076

1,2,4,29,58,61,116,122,244,1769,3538,7076

Greatest Common Factor

We found the factors 8874,7076 . The biggest common factor number is the GCF number.
So the greatest common factor 8874,7076 is 58.

Lets's calculate LCM of 924,6554

Lowest Common Multiple of 924,6554 using Common Division

2	924, 6554
	462, 3277

∴ So the LCM of the given numbers is 2 x 462 x 3277 = 3027948

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/3027948

Therefore, the GCF of Fractions 8874/924,7076/6554 is 58/3027948

Least Common Multiple of 924,6554 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 924,6554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,6554) = 2

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

GCF(924,6554) x common factors =2 x 1 = 2

LCM(924,6554) = ( 924 × 6554 ) / 2

LCM(924,6554) = 6055896 / 2

LCM(924,6554) = 3027948

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FAQs on GCF of Fractions of 8874/924, 7076/6554

1. What is the HCF of 8874,7076?

The HCF of 8874,7076 is 58

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 8874/924, 7076/6554?

Answer: GCF of Numerators as per given numbers 8874/924, 7076/6554 is

GCF of Numerators i.e. for 8874,7076 is 58

LCM of denominators i.e. for 924,6554 is 3027948.

Thus, GCF of Fractions is 58/3027948.Finally, GCF of Fractions for 8874/924, 7076/6554 is 58/3027948.