Greatest Common Factor of 74/68, 599/85, 798/436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 74/68, 599/85, 798/436

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 74/68,599/85,798/436

Given fractions are 74/68,599/85,798/436

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 74,599,798

Greatest Common Factor of Numerators i.e. GCF of 74,599,798 is 1 .

LCM of Denominators means LCM of 68,85,436 as per the given fractions.

LCM of 68,85,436 is 37060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 74,599,798

GCF of Fractions 74/68,599/85,798/436 is 1/37060

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

Greatest Common Factor of 74,599,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,599,798 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 74,599,798 . The biggest common factor number is the GCF number.
So the greatest common factor 74,599,798 is 1.

Lets's calculate LCM of 68,85,436

2 68, 85, 436
2 34, 85, 218
17 17, 85, 109
1, 5, 109

∴ So the LCM of the given numbers is 2 x 2 x 17 x 1 x 5 x 109 = 37060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37060

Therefore, the GCF of Fractions 74/68,599/85,798/436 is 1/37060

Least Common Multiple of 68,85,436 with GCF Formula

Least Common Multiple of 68,85,436 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 68,85,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,85,436) = 1

common factors(in case of two or more numbers have common factors) = 68

GCF(68,85,436) x common factors =1 x 68 = 68

LCM(68,85,436) = ( 68 × 85 × 436 ) / 68

LCM(68,85,436) = 2520080 / 68

LCM(68,85,436) = 37060


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 74/68, 599/85, 798/436

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 74/68, 599/85, 798/436?

Answer: GCF of Numerators as per given numbers 74/68, 599/85, 798/436 is

GCF of Numerators i.e. for 74,599,798 is 1

LCM of denominators i.e. for 68,85,436 is 37060.

Thus, GCF of Fractions is 1/37060.Finally, GCF of Fractions for 74/68, 599/85, 798/436 is 1/37060.