Greatest Common Factor of 349/667, 989/852, 754/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 349/667, 989/852, 754/134

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 349/667,989/852,754/134

Given fractions are 349/667,989/852,754/134

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 349,989,754

Greatest Common Factor of Numerators i.e. GCF of 349,989,754 is 1 .

LCM of Denominators means LCM of 667,852,134 as per the given fractions.

LCM of 667,852,134 is 38075028 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 349,989,754

GCF of Fractions 349/667,989/852,754/134 is 1/38075028

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

Greatest Common Factor of 349,989,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 349,989,754 By Matching Biggest Common Factor Method

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 349,989,754 . The biggest common factor number is the GCF number.
So the greatest common factor 349,989,754 is 1.

Lets's calculate LCM of 667,852,134

2 667, 852, 134
667, 426, 67

∴ So the LCM of the given numbers is 2 x 667 x 426 x 67 = 38075028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38075028

Therefore, the GCF of Fractions 349/667,989/852,754/134 is 1/38075028

Least Common Multiple of 667,852,134 with GCF Formula

Least Common Multiple of 667,852,134 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 667,852,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(667,852,134) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(667,852,134) x common factors =1 x 2 = 2

LCM(667,852,134) = ( 667 × 852 × 134 ) / 2

LCM(667,852,134) = 76150056 / 2

LCM(667,852,134) = 38075028


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 349/667, 989/852, 754/134

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 349/667, 989/852, 754/134?

Answer: GCF of Numerators as per given numbers 349/667, 989/852, 754/134 is

GCF of Numerators i.e. for 349,989,754 is 1

LCM of denominators i.e. for 667,852,134 is 38075028.

Thus, GCF of Fractions is 1/38075028.Finally, GCF of Fractions for 349/667, 989/852, 754/134 is 1/38075028.