Greatest Common Factor of 68/55, 762/49, 626/93

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/55, 762/49, 626/93

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 68/55,762/49,626/93

Given fractions are 68/55,762/49,626/93

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 68,762,626

Greatest Common Factor of Numerators i.e. GCF of 68,762,626 is 2 .

LCM of Denominators means LCM of 55,49,93 as per the given fractions.

LCM of 55,49,93 is 250635 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,762,626

GCF of Fractions 68/55,762/49,626/93 is 2/250635

2 68, 762, 626
34, 381, 313

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

Greatest Common Factor of 68,762,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,762,626 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 68,762,626 . The biggest common factor number is the GCF number.
So the greatest common factor 68,762,626 is 2.

Lets's calculate LCM of 55,49,93

Given numbers has no common factors except 1. So, there LCM is their product i.e 250635

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/250635

Therefore, the GCF of Fractions 68/55,762/49,626/93 is 2/250635

Least Common Multiple of 55,49,93 with GCF Formula

Least Common Multiple of 55,49,93 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 55,49,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,49,93) = 1

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

GCF(55,49,93) x common factors =1 x 1 = 1

LCM(55,49,93) = ( 55 × 49 × 93 ) / 1

LCM(55,49,93) = 250635 / 1

LCM(55,49,93) = 250635


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 68/55, 762/49, 626/93

1. 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.

2. What is the GCF of Fractions for 68/55, 762/49, 626/93?

Answer: GCF of Numerators as per given numbers 68/55, 762/49, 626/93 is

GCF of Numerators i.e. for 68,762,626 is 2

LCM of denominators i.e. for 55,49,93 is 250635.

Thus, GCF of Fractions is 2/250635.Finally, GCF of Fractions for 68/55, 762/49, 626/93 is 2/250635.