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GCF of 841/77, 210/522

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 841/77, 210/522 i.e 1/40194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 841/77, 210/522.

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 841/77,210/522?

Given fractions are 841/77,210/522

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 841/77,210/522, numerators are 841,210

Denominators are 77,522

The GCF of 841,210 is 1 .

LCM of 77,522 is 40194.

The greatest common factor of 841/77,210/522 = [GCF of 841,210]/[LCM of 77,522]= 1/40194

Therefore, the GCF of 841/77,210/522 is 1/40194.

Greatest Common Factor of 841,210

To find the highest common factor of 841,210, we have to find the factors of both numbers and list the highest common factor.

The factors of 841 are 1, 29, 841

The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

The HCF of 841,210 is 1.

Lets's calculate GCF of 841,210

Greatest Common Factor (GCF) of 841,210 By Common Division

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

Greatest Common Factor of 841,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 841,210 By Matching Biggest Common Factor Method

Now, list down the factors of 841

:

1,29,841

Now, list down the factors of 210

:

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 841,210 . The biggest common factor number is the GCF number.
So the greatest common factor 841,210 is 1.

Lets's calculate LCM of 77,522

Lowest Common Multiple of 77,522 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 40194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40194

Therefore, the GCF of Fractions 841/77,210/522 is 1/40194

Least Common Multiple of 77,522 with GCF Formula

Least Common Multiple of 77,522 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 77,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,522) = 1

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

GCF(77,522) x common factors =1 x 1 = 1

LCM(77,522) = ( 77 × 522 ) / 1

LCM(77,522) = 40194 / 1

LCM(77,522) = 40194


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FAQs on GCF of Fractions of 841/77, 210/522

1. What is the HCF of 841,210?

The HCF of 841,210 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 841/77, 210/522?

Answer: GCF of Numerators as per given numbers 841/77, 210/522 is

GCF of Numerators i.e. for 841,210 is 1

LCM of denominators i.e. for 77,522 is 40194.

Thus, GCF of Fractions is 1/40194.Finally, GCF of Fractions for 841/77, 210/522 is 1/40194.