How to Find GCF of 40/377, 4970/9047?

GCF of 40/377, 4970/9047

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 40/377, 4970/9047 i.e 10/3410719 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/377, 4970/9047.

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 40/377,4970/9047?

Given fractions are 40/377,4970/9047

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 40/377,4970/9047, numerators are 40,4970

Denominators are 377,9047

The GCF of 40,4970 is 10 .

LCM of 377,9047 is 3410719.

The greatest common factor of 40/377,4970/9047 = [GCF of 40,4970]/[LCM of 377,9047]= 10/3410719

Therefore, the GCF of 40/377,4970/9047 is 10/3410719.

Greatest Common Factor of 40,4970

To find the highest common factor of 40,4970, we have to find the factors of both numbers and list the highest common factor.

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40

The factors of 4970 are 1, 2, 5, 7, 10, 14, 35, 70, 71, 142, 355, 497, 710, 994, 2485, 4970

The HCF of 40,4970 is 10.

Lets's calculate GCF of 40,4970

Greatest Common Factor (GCF) of 40,4970 By Common Division

2	40, 4970
5	20, 2485
	4, 497

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 40,4970 By Matching Biggest Common Factor Method

Now, list down the factors of 40

1,2,4,5,8,10,20,40

Now, list down the factors of 4970

1,2,5,7,10,14,35,70,71,142,355,497,710,994,2485,4970

Greatest Common Factor

We found the factors 40,4970 . The biggest common factor number is the GCF number.
So the greatest common factor 40,4970 is 10.

Lets's calculate LCM of 377,9047

Lowest Common Multiple of 377,9047 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3410719

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/3410719

Therefore, the GCF of Fractions 40/377,4970/9047 is 10/3410719

Least Common Multiple of 377,9047 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 377,9047 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(377,9047) = 1

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

GCF(377,9047) x common factors =1 x 1 = 1

LCM(377,9047) = ( 377 × 9047 ) / 1

LCM(377,9047) = 3410719 / 1

LCM(377,9047) = 3410719

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FAQs on GCF of Fractions of 40/377, 4970/9047

1. What is the HCF of 40,4970?

The HCF of 40,4970 is 10

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 40/377, 4970/9047?

Answer: GCF of Numerators as per given numbers 40/377, 4970/9047 is

GCF of Numerators i.e. for 40,4970 is 10

LCM of denominators i.e. for 377,9047 is 3410719.

Thus, GCF of Fractions is 10/3410719.Finally, GCF of Fractions for 40/377, 4970/9047 is 10/3410719.