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GCF of 411/690, 8942/628

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 411/690, 8942/628 i.e 1/216660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 411/690, 8942/628.

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 411/690,8942/628?

Given fractions are 411/690,8942/628

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 411/690,8942/628, numerators are 411,8942

Denominators are 690,628

The GCF of 411,8942 is 1 .

LCM of 690,628 is 216660.

The greatest common factor of 411/690,8942/628 = [GCF of 411,8942]/[LCM of 690,628]= 1/216660

Therefore, the GCF of 411/690,8942/628 is 1/216660.

Greatest Common Factor of 411,8942

To find the highest common factor of 411,8942, we have to find the factors of both numbers and list the highest common factor.

The factors of 411 are 1, 3, 137, 411

The factors of 8942 are 1, 2, 17, 34, 263, 526, 4471, 8942

The HCF of 411,8942 is 1.

Lets's calculate GCF of 411,8942

Greatest Common Factor (GCF) of 411,8942 By Common Division

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

Greatest Common Factor of 411,8942 By Matching Biggest Common Factor Method

Greatest Common Factor of 411,8942 By Matching Biggest Common Factor Method

Now, list down the factors of 411

:

1,3,137,411

Now, list down the factors of 8942

:

1,2,17,34,263,526,4471,8942

Greatest Common Factor

We found the factors 411,8942 . The biggest common factor number is the GCF number.
So the greatest common factor 411,8942 is 1.

Lets's calculate LCM of 690,628

Lowest Common Multiple of 690,628 using Common Division

2 690, 628
345, 314

∴ So the LCM of the given numbers is 2 x 345 x 314 = 216660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/216660

Therefore, the GCF of Fractions 411/690,8942/628 is 1/216660

Least Common Multiple of 690,628 with GCF Formula

Least Common Multiple of 690,628 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 690,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,628) = 2

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

GCF(690,628) x common factors =2 x 1 = 2

LCM(690,628) = ( 690 × 628 ) / 2

LCM(690,628) = 433320 / 2

LCM(690,628) = 216660


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FAQs on GCF of Fractions of 411/690, 8942/628

1. What is the HCF of 411,8942?

The HCF of 411,8942 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 411/690, 8942/628?

Answer: GCF of Numerators as per given numbers 411/690, 8942/628 is

GCF of Numerators i.e. for 411,8942 is 1

LCM of denominators i.e. for 690,628 is 216660.

Thus, GCF of Fractions is 1/216660.Finally, GCF of Fractions for 411/690, 8942/628 is 1/216660.