How to Find GCF of 9760/859, 1993/715?

GCF of 9760/859, 1993/715

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 9760/859, 1993/715 i.e 1/614185 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9760/859, 1993/715.

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 9760/859,1993/715?

Given fractions are 9760/859,1993/715

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 9760/859,1993/715, numerators are 9760,1993

Denominators are 859,715

The GCF of 9760,1993 is 1 .

LCM of 859,715 is 614185.

The greatest common factor of 9760/859,1993/715 = [GCF of 9760,1993]/[LCM of 859,715]= 1/614185

Therefore, the GCF of 9760/859,1993/715 is 1/614185.

Greatest Common Factor of 9760,1993

To find the highest common factor of 9760,1993, we have to find the factors of both numbers and list the highest common factor.

The factors of 9760 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 61, 80, 122, 160, 244, 305, 488, 610, 976, 1220, 1952, 2440, 4880, 9760

The factors of 1993 are 1, 1993

The HCF of 9760,1993 is 1.

Lets's calculate GCF of 9760,1993

Greatest Common Factor (GCF) of 9760,1993 By Common Division

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

Greatest Common Factor of 9760,1993 By Matching Biggest Common Factor Method

Now, list down the factors of 9760

1,2,4,5,8,10,16,20,32,40,61,80,122,160,244,305,488,610,976,1220,1952,2440,4880,9760

Now, list down the factors of 1993

1,1993

Greatest Common Factor

We found the factors 9760,1993 . The biggest common factor number is the GCF number.
So the greatest common factor 9760,1993 is 1.

Lets's calculate LCM of 859,715

Lowest Common Multiple of 859,715 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 614185

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/614185

Therefore, the GCF of Fractions 9760/859,1993/715 is 1/614185

Least Common Multiple of 859,715 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 859,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(859,715) = 1

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

GCF(859,715) x common factors =1 x 1 = 1

LCM(859,715) = ( 859 × 715 ) / 1

LCM(859,715) = 614185 / 1

LCM(859,715) = 614185

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9760/859, 1993/715

1. What is the HCF of 9760,1993?

The HCF of 9760,1993 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 9760/859, 1993/715?

Answer: GCF of Numerators as per given numbers 9760/859, 1993/715 is

GCF of Numerators i.e. for 9760,1993 is 1

LCM of denominators i.e. for 859,715 is 614185.

Thus, GCF of Fractions is 1/614185.Finally, GCF of Fractions for 9760/859, 1993/715 is 1/614185.