How to Find GCF of 8317/690, 9991/7153?

GCF of 8317/690, 9991/7153

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 8317/690, 9991/7153 i.e 1/214590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8317/690, 9991/7153.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 8317/690,9991/7153?

Given fractions are 8317/690,9991/7153

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 8317/690,9991/7153, numerators are 8317,9991

Denominators are 690,7153

The GCF of 8317,9991 is 1 .

LCM of 690,7153 is 214590.

The greatest common factor of 8317/690,9991/7153 = [GCF of 8317,9991]/[LCM of 690,7153]= 1/214590

Therefore, the GCF of 8317/690,9991/7153 is 1/214590.

Greatest Common Factor of 8317,9991

To find the highest common factor of 8317,9991, we have to find the factors of both numbers and list the highest common factor.

The factors of 8317 are 1, 8317

The factors of 9991 are 1, 97, 103, 9991

The HCF of 8317,9991 is 1.

Lets's calculate GCF of 8317,9991

Greatest Common Factor (GCF) of 8317,9991 By Common Division

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

Greatest Common Factor of 8317,9991 By Matching Biggest Common Factor Method

Now, list down the factors of 8317

1,8317

Now, list down the factors of 9991

1,97,103,9991

Greatest Common Factor

We found the factors 8317,9991 . The biggest common factor number is the GCF number.
So the greatest common factor 8317,9991 is 1.

Lets's calculate LCM of 690,7153

Lowest Common Multiple of 690,7153 using Common Division

23	690, 7153
	30, 311

∴ So the LCM of the given numbers is 23 x 30 x 311 = 214590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/214590

Therefore, the GCF of Fractions 8317/690,9991/7153 is 1/214590

Least Common Multiple of 690,7153 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 690,7153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,7153) = 23

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

GCF(690,7153) x common factors =23 x 1 = 23

LCM(690,7153) = ( 690 × 7153 ) / 23

LCM(690,7153) = 4935570 / 23

LCM(690,7153) = 214590

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FAQs on GCF of Fractions of 8317/690, 9991/7153

1. What is the HCF of 8317,9991?

The HCF of 8317,9991 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 8317/690, 9991/7153?

Answer: GCF of Numerators as per given numbers 8317/690, 9991/7153 is

GCF of Numerators i.e. for 8317,9991 is 1

LCM of denominators i.e. for 690,7153 is 214590.

Thus, GCF of Fractions is 1/214590.Finally, GCF of Fractions for 8317/690, 9991/7153 is 1/214590.