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GCF of 316/89, 406/1769

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 316/89, 406/1769 i.e 2/157441 easily. The following is the detailed procedure to determine the greatest common factor of fractions 316/89, 406/1769.

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 316/89,406/1769?

Given fractions are 316/89,406/1769

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 316/89,406/1769, numerators are 316,406

Denominators are 89,1769

The GCF of 316,406 is 2 .

LCM of 89,1769 is 157441.

The greatest common factor of 316/89,406/1769 = [GCF of 316,406]/[LCM of 89,1769]= 2/157441

Therefore, the GCF of 316/89,406/1769 is 2/157441.

Greatest Common Factor of 316,406

To find the highest common factor of 316,406, we have to find the factors of both numbers and list the highest common factor.

The factors of 316 are 1, 2, 4, 79, 158, 316

The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406

The HCF of 316,406 is 2.

Lets's calculate GCF of 316,406

Greatest Common Factor (GCF) of 316,406 By Common Division

2 316, 406
158, 203

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 316,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 316,406 By Matching Biggest Common Factor Method

Now, list down the factors of 316

:

1,2,4,79,158,316

Now, list down the factors of 406

:

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 316,406 . The biggest common factor number is the GCF number.
So the greatest common factor 316,406 is 2.

Lets's calculate LCM of 89,1769

Lowest Common Multiple of 89,1769 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 157441

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/157441

Therefore, the GCF of Fractions 316/89,406/1769 is 2/157441

Least Common Multiple of 89,1769 with GCF Formula

Least Common Multiple of 89,1769 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 89,1769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,1769) = 1

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

GCF(89,1769) x common factors =1 x 1 = 1

LCM(89,1769) = ( 89 × 1769 ) / 1

LCM(89,1769) = 157441 / 1

LCM(89,1769) = 157441


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FAQs on GCF of Fractions of 316/89, 406/1769

1. What is the HCF of 316,406?

The HCF of 316,406 is 2

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 316/89, 406/1769?

Answer: GCF of Numerators as per given numbers 316/89, 406/1769 is

GCF of Numerators i.e. for 316,406 is 2

LCM of denominators i.e. for 89,1769 is 157441.

Thus, GCF of Fractions is 2/157441.Finally, GCF of Fractions for 316/89, 406/1769 is 2/157441.