How to Find GCF of 1288/235, 2910/502?

GCF of 1288/235, 2910/502

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 1288/235, 2910/502 i.e 2/117970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1288/235, 2910/502.

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 1288/235,2910/502?

Given fractions are 1288/235,2910/502

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 1288/235,2910/502, numerators are 1288,2910

Denominators are 235,502

The GCF of 1288,2910 is 2 .

LCM of 235,502 is 117970.

The greatest common factor of 1288/235,2910/502 = [GCF of 1288,2910]/[LCM of 235,502]= 2/117970

Therefore, the GCF of 1288/235,2910/502 is 2/117970.

Greatest Common Factor of 1288,2910

To find the highest common factor of 1288,2910, we have to find the factors of both numbers and list the highest common factor.

The factors of 1288 are 1, 2, 4, 7, 8, 14, 23, 28, 46, 56, 92, 161, 184, 322, 644, 1288

The factors of 2910 are 1, 2, 3, 5, 6, 10, 15, 30, 97, 194, 291, 485, 582, 970, 1455, 2910

The HCF of 1288,2910 is 2.

Lets's calculate GCF of 1288,2910

Greatest Common Factor (GCF) of 1288,2910 By Common Division

2	1288, 2910
	644, 1455

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

Greatest Common Factor of 1288,2910 By Matching Biggest Common Factor Method

Now, list down the factors of 1288

1,2,4,7,8,14,23,28,46,56,92,161,184,322,644,1288

Now, list down the factors of 2910

1,2,3,5,6,10,15,30,97,194,291,485,582,970,1455,2910

Greatest Common Factor

We found the factors 1288,2910 . The biggest common factor number is the GCF number.
So the greatest common factor 1288,2910 is 2.

Lets's calculate LCM of 235,502

Lowest Common Multiple of 235,502 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 117970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/117970

Therefore, the GCF of Fractions 1288/235,2910/502 is 2/117970

Least Common Multiple of 235,502 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 235,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(235,502) = 1

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

GCF(235,502) x common factors =1 x 1 = 1

LCM(235,502) = ( 235 × 502 ) / 1

LCM(235,502) = 117970 / 1

LCM(235,502) = 117970

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FAQs on GCF of Fractions of 1288/235, 2910/502

1. What is the HCF of 1288,2910?

The HCF of 1288,2910 is 2

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 1288/235, 2910/502?

Answer: GCF of Numerators as per given numbers 1288/235, 2910/502 is

GCF of Numerators i.e. for 1288,2910 is 2

LCM of denominators i.e. for 235,502 is 117970.

Thus, GCF of Fractions is 2/117970.Finally, GCF of Fractions for 1288/235, 2910/502 is 2/117970.