How to Find GCF of 94/370, 21/786, 377/941?

GCF of 94/370, 21/786, 377/941

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 94/370, 21/786, 377/941 i.e 1/136830810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/370, 21/786, 377/941.

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 94/370,21/786,377/941?

Given fractions are 94/370,21/786,377/941

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 94/370,21/786,377/941, numerators are 94,21,377

Denominators are 370,786,941

The GCF of 94,21,377 is 1 .

LCM of 370,786,941 is 136830810.

The greatest common factor of 94/370,21/786,377/941 = [GCF of 94,21,377]/[LCM of 370,786,941]= 1/136830810

Therefore, the GCF of 94/370,21/786,377/941 is 1/136830810.

Greatest Common Factor of 94,21,377

To find the highest common factor of 94,21,377, we have to find the factors of both numbers and list the highest common factor.

The factors of 94 are 1, 2, 47, 94

The factors of 21 are 1, 3, 7, 21

The factors of 377 are 1, 13, 29, 377

The HCF of 94,21,377 is 1.

Lets's calculate GCF of 94,21,377

Greatest Common Factor (GCF) of 94,21,377 By Common Division

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

Greatest Common Factor of 94,21,377 By Matching Biggest Common Factor Method

Now, list down the factors of 94

1,2,47,94

Now, list down the factors of 21

1,3,7,21

Now, list down the factors of 377

1,13,29,377

Greatest Common Factor

We found the factors 94,21,377 . The biggest common factor number is the GCF number.
So the greatest common factor 94,21,377 is 1.

Lets's calculate LCM of 370,786,941

Lowest Common Multiple of 370,786,941 using Common Division

2	370, 786, 941
	185, 393, 941

∴ So the LCM of the given numbers is 2 x 185 x 393 x 941 = 136830810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136830810

Therefore, the GCF of Fractions 94/370,21/786,377/941 is 1/136830810

Least Common Multiple of 370,786,941 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 370,786,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(370,786,941) = 1

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

GCF(370,786,941) x common factors =1 x 2 = 2

LCM(370,786,941) = ( 370 × 786 × 941 ) / 2

LCM(370,786,941) = 273661620 / 2

LCM(370,786,941) = 136830810

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 94/370, 21/786, 377/941

1. What is the HCF of 94,21,377?

The HCF of 94,21,377 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 94/370, 21/786, 377/941?

Answer: GCF of Numerators as per given numbers 94/370, 21/786, 377/941 is

GCF of Numerators i.e. for 94,21,377 is 1

LCM of denominators i.e. for 370,786,941 is 136830810.

Thus, GCF of Fractions is 1/136830810.Finally, GCF of Fractions for 94/370, 21/786, 377/941 is 1/136830810.