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GCF of 351/85, 826/8474

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 351/85, 826/8474 i.e 1/720290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 351/85, 826/8474.

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 351/85,826/8474?

Given fractions are 351/85,826/8474

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 351/85,826/8474, numerators are 351,826

Denominators are 85,8474

The GCF of 351,826 is 1 .

LCM of 85,8474 is 720290.

The greatest common factor of 351/85,826/8474 = [GCF of 351,826]/[LCM of 85,8474]= 1/720290

Therefore, the GCF of 351/85,826/8474 is 1/720290.

Greatest Common Factor of 351,826

To find the highest common factor of 351,826, we have to find the factors of both numbers and list the highest common factor.

The factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351

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

The HCF of 351,826 is 1.

Lets's calculate GCF of 351,826

Greatest Common Factor (GCF) of 351,826 By Common Division

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

Greatest Common Factor of 351,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,826 By Matching Biggest Common Factor Method

Now, list down the factors of 351

:

1,3,9,13,27,39,117,351

Now, list down the factors of 826

:

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

Greatest Common Factor

We found the factors 351,826 . The biggest common factor number is the GCF number.
So the greatest common factor 351,826 is 1.

Lets's calculate LCM of 85,8474

Lowest Common Multiple of 85,8474 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 720290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/720290

Therefore, the GCF of Fractions 351/85,826/8474 is 1/720290

Least Common Multiple of 85,8474 with GCF Formula

Least Common Multiple of 85,8474 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 85,8474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,8474) = 1

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

GCF(85,8474) x common factors =1 x 1 = 1

LCM(85,8474) = ( 85 × 8474 ) / 1

LCM(85,8474) = 720290 / 1

LCM(85,8474) = 720290


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FAQs on GCF of Fractions of 351/85, 826/8474

1. What is the HCF of 351,826?

The HCF of 351,826 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 351/85, 826/8474?

Answer: GCF of Numerators as per given numbers 351/85, 826/8474 is

GCF of Numerators i.e. for 351,826 is 1

LCM of denominators i.e. for 85,8474 is 720290.

Thus, GCF of Fractions is 1/720290.Finally, GCF of Fractions for 351/85, 826/8474 is 1/720290.