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GCF of 202/35, 826/1401

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 202/35, 826/1401 i.e 2/49035 easily. The following is the detailed procedure to determine the greatest common factor of fractions 202/35, 826/1401.

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 202/35,826/1401?

Given fractions are 202/35,826/1401

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 202/35,826/1401, numerators are 202,826

Denominators are 35,1401

The GCF of 202,826 is 2 .

LCM of 35,1401 is 49035.

The greatest common factor of 202/35,826/1401 = [GCF of 202,826]/[LCM of 35,1401]= 2/49035

Therefore, the GCF of 202/35,826/1401 is 2/49035.

Greatest Common Factor of 202,826

To find the highest common factor of 202,826, we have to find the factors of both numbers and list the highest common factor.

The factors of 202 are 1, 2, 101, 202

The factors of 826 are 1, 2, 7, 14, 59, 118, 413, 826

The HCF of 202,826 is 2.

Lets's calculate GCF of 202,826

Greatest Common Factor (GCF) of 202,826 By Common Division

2 202, 826
101, 413

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

Greatest Common Factor of 202,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 202,826 By Matching Biggest Common Factor Method

Now, list down the factors of 202

:

1,2,101,202

Now, list down the factors of 826

:

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 202,826 . The biggest common factor number is the GCF number.
So the greatest common factor 202,826 is 2.

Lets's calculate LCM of 35,1401

Lowest Common Multiple of 35,1401 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 49035

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/49035

Therefore, the GCF of Fractions 202/35,826/1401 is 2/49035

Least Common Multiple of 35,1401 with GCF Formula

Least Common Multiple of 35,1401 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 35,1401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,1401) = 1

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

GCF(35,1401) x common factors =1 x 1 = 1

LCM(35,1401) = ( 35 × 1401 ) / 1

LCM(35,1401) = 49035 / 1

LCM(35,1401) = 49035


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FAQs on GCF of Fractions of 202/35, 826/1401

1. What is the HCF of 202,826?

The HCF of 202,826 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 202/35, 826/1401?

Answer: GCF of Numerators as per given numbers 202/35, 826/1401 is

GCF of Numerators i.e. for 202,826 is 2

LCM of denominators i.e. for 35,1401 is 49035.

Thus, GCF of Fractions is 2/49035.Finally, GCF of Fractions for 202/35, 826/1401 is 2/49035.