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GCF of 826/8567, 421/9248

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 826/8567, 421/9248 i.e 1/79227616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 826/8567, 421/9248.

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 826/8567,421/9248?

Given fractions are 826/8567,421/9248

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 826/8567,421/9248, numerators are 826,421

Denominators are 8567,9248

The GCF of 826,421 is 1 .

LCM of 8567,9248 is 79227616.

The greatest common factor of 826/8567,421/9248 = [GCF of 826,421]/[LCM of 8567,9248]= 1/79227616

Therefore, the GCF of 826/8567,421/9248 is 1/79227616.

Greatest Common Factor of 826,421

To find the highest common factor of 826,421, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 421 are 1, 421

The HCF of 826,421 is 1.

Lets's calculate GCF of 826,421

Greatest Common Factor (GCF) of 826,421 By Common Division

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

Greatest Common Factor of 826,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,421 By Matching Biggest Common Factor Method

Now, list down the factors of 826

:

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

Now, list down the factors of 421

:

1,421

Greatest Common Factor

We found the factors 826,421 . The biggest common factor number is the GCF number.
So the greatest common factor 826,421 is 1.

Lets's calculate LCM of 8567,9248

Lowest Common Multiple of 8567,9248 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 79227616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79227616

Therefore, the GCF of Fractions 826/8567,421/9248 is 1/79227616

Least Common Multiple of 8567,9248 with GCF Formula

Least Common Multiple of 8567,9248 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 8567,9248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8567,9248) = 1

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

GCF(8567,9248) x common factors =1 x 1 = 1

LCM(8567,9248) = ( 8567 × 9248 ) / 1

LCM(8567,9248) = 79227616 / 1

LCM(8567,9248) = 79227616


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 826/8567, 421/9248

1. What is the HCF of 826,421?

The HCF of 826,421 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 826/8567, 421/9248?

Answer: GCF of Numerators as per given numbers 826/8567, 421/9248 is

GCF of Numerators i.e. for 826,421 is 1

LCM of denominators i.e. for 8567,9248 is 79227616.

Thus, GCF of Fractions is 1/79227616.Finally, GCF of Fractions for 826/8567, 421/9248 is 1/79227616.