How to Find GCF of 2757/228, 7688/8554?

GCF of 2757/228, 7688/8554

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 2757/228, 7688/8554 i.e 1/975156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2757/228, 7688/8554.

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 2757/228,7688/8554?

Given fractions are 2757/228,7688/8554

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 2757/228,7688/8554, numerators are 2757,7688

Denominators are 228,8554

The GCF of 2757,7688 is 1 .

LCM of 228,8554 is 975156.

The greatest common factor of 2757/228,7688/8554 = [GCF of 2757,7688]/[LCM of 228,8554]= 1/975156

Therefore, the GCF of 2757/228,7688/8554 is 1/975156.

Greatest Common Factor of 2757,7688

To find the highest common factor of 2757,7688, we have to find the factors of both numbers and list the highest common factor.

The factors of 2757 are 1, 3, 919, 2757

The factors of 7688 are 1, 2, 4, 8, 31, 62, 124, 248, 961, 1922, 3844, 7688

The HCF of 2757,7688 is 1.

Lets's calculate GCF of 2757,7688

Greatest Common Factor (GCF) of 2757,7688 By Common Division

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

Greatest Common Factor of 2757,7688 By Matching Biggest Common Factor Method

Now, list down the factors of 2757

1,3,919,2757

Now, list down the factors of 7688

1,2,4,8,31,62,124,248,961,1922,3844,7688

Greatest Common Factor

We found the factors 2757,7688 . The biggest common factor number is the GCF number.
So the greatest common factor 2757,7688 is 1.

Lets's calculate LCM of 228,8554

Lowest Common Multiple of 228,8554 using Common Division

2	228, 8554
	114, 4277

∴ So the LCM of the given numbers is 2 x 114 x 4277 = 975156

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/975156

Therefore, the GCF of Fractions 2757/228,7688/8554 is 1/975156

Least Common Multiple of 228,8554 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 228,8554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,8554) = 2

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

GCF(228,8554) x common factors =2 x 1 = 2

LCM(228,8554) = ( 228 × 8554 ) / 2

LCM(228,8554) = 1950312 / 2

LCM(228,8554) = 975156

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2757/228, 7688/8554

1. What is the HCF of 2757,7688?

The HCF of 2757,7688 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 2757/228, 7688/8554?

Answer: GCF of Numerators as per given numbers 2757/228, 7688/8554 is

GCF of Numerators i.e. for 2757,7688 is 1

LCM of denominators i.e. for 228,8554 is 975156.

Thus, GCF of Fractions is 1/975156.Finally, GCF of Fractions for 2757/228, 7688/8554 is 1/975156.