How to Find GCF of 8908/454, 6904/6277?

GCF of 8908/454, 6904/6277

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 8908/454, 6904/6277 i.e 4/2849758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8908/454, 6904/6277.

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 8908/454,6904/6277?

Given fractions are 8908/454,6904/6277

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 8908/454,6904/6277, numerators are 8908,6904

Denominators are 454,6277

The GCF of 8908,6904 is 4 .

LCM of 454,6277 is 2849758.

The greatest common factor of 8908/454,6904/6277 = [GCF of 8908,6904]/[LCM of 454,6277]= 4/2849758

Therefore, the GCF of 8908/454,6904/6277 is 4/2849758.

Greatest Common Factor of 8908,6904

To find the highest common factor of 8908,6904, we have to find the factors of both numbers and list the highest common factor.

The factors of 8908 are 1, 2, 4, 17, 34, 68, 131, 262, 524, 2227, 4454, 8908

The factors of 6904 are 1, 2, 4, 8, 863, 1726, 3452, 6904

The HCF of 8908,6904 is 4.

Lets's calculate GCF of 8908,6904

Greatest Common Factor (GCF) of 8908,6904 By Common Division

2	8908, 6904
2	4454, 3452
	2227, 1726

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

Greatest Common Factor of 8908,6904 By Matching Biggest Common Factor Method

Now, list down the factors of 8908

1,2,4,17,34,68,131,262,524,2227,4454,8908

Now, list down the factors of 6904

1,2,4,8,863,1726,3452,6904

Greatest Common Factor

We found the factors 8908,6904 . The biggest common factor number is the GCF number.
So the greatest common factor 8908,6904 is 4.

Lets's calculate LCM of 454,6277

Lowest Common Multiple of 454,6277 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2849758

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2849758

Therefore, the GCF of Fractions 8908/454,6904/6277 is 4/2849758

Least Common Multiple of 454,6277 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 454,6277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(454,6277) = 1

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

GCF(454,6277) x common factors =1 x 1 = 1

LCM(454,6277) = ( 454 × 6277 ) / 1

LCM(454,6277) = 2849758 / 1

LCM(454,6277) = 2849758

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FAQs on GCF of Fractions of 8908/454, 6904/6277

1. What is the HCF of 8908,6904?

The HCF of 8908,6904 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 8908/454, 6904/6277?

Answer: GCF of Numerators as per given numbers 8908/454, 6904/6277 is

GCF of Numerators i.e. for 8908,6904 is 4

LCM of denominators i.e. for 454,6277 is 2849758.

Thus, GCF of Fractions is 4/2849758.Finally, GCF of Fractions for 8908/454, 6904/6277 is 4/2849758.