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GCF of 119/666, 380/582

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 119/666, 380/582 i.e 1/64602 easily. The following is the detailed procedure to determine the greatest common factor of fractions 119/666, 380/582.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 119/666,380/582?

Given fractions are 119/666,380/582

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 119/666,380/582, numerators are 119,380

Denominators are 666,582

The GCF of 119,380 is 1 .

LCM of 666,582 is 64602.

The greatest common factor of 119/666,380/582 = [GCF of 119,380]/[LCM of 666,582]= 1/64602

Therefore, the GCF of 119/666,380/582 is 1/64602.

Greatest Common Factor of 119,380

To find the highest common factor of 119,380, we have to find the factors of both numbers and list the highest common factor.

The factors of 119 are 1, 7, 17, 119

The factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

The HCF of 119,380 is 1.

Lets's calculate GCF of 119,380

Greatest Common Factor (GCF) of 119,380 By Common Division

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

Greatest Common Factor of 119,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 119,380 By Matching Biggest Common Factor Method

Now, list down the factors of 119

:

1,7,17,119

Now, list down the factors of 380

:

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 119,380 . The biggest common factor number is the GCF number.
So the greatest common factor 119,380 is 1.

Lets's calculate LCM of 666,582

Lowest Common Multiple of 666,582 using Common Division

2 666, 582
3 333, 291
111, 97

∴ So the LCM of the given numbers is 2 x 3 x 111 x 97 = 64602

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64602

Therefore, the GCF of Fractions 119/666,380/582 is 1/64602

Least Common Multiple of 666,582 with GCF Formula

Least Common Multiple of 666,582 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 666,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,582) = 6

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

GCF(666,582) x common factors =6 x 1 = 6

LCM(666,582) = ( 666 × 582 ) / 6

LCM(666,582) = 387612 / 6

LCM(666,582) = 64602


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FAQs on GCF of Fractions of 119/666, 380/582

1. What is the HCF of 119,380?

The HCF of 119,380 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 119/666, 380/582?

Answer: GCF of Numerators as per given numbers 119/666, 380/582 is

GCF of Numerators i.e. for 119,380 is 1

LCM of denominators i.e. for 666,582 is 64602.

Thus, GCF of Fractions is 1/64602.Finally, GCF of Fractions for 119/666, 380/582 is 1/64602.