How to Find GCF of 5795/785, 4954/8557?

GCF of 5795/785, 4954/8557

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 5795/785, 4954/8557 i.e 1/6717245 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5795/785, 4954/8557.

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 5795/785,4954/8557?

Given fractions are 5795/785,4954/8557

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 5795/785,4954/8557, numerators are 5795,4954

Denominators are 785,8557

The GCF of 5795,4954 is 1 .

LCM of 785,8557 is 6717245.

The greatest common factor of 5795/785,4954/8557 = [GCF of 5795,4954]/[LCM of 785,8557]= 1/6717245

Therefore, the GCF of 5795/785,4954/8557 is 1/6717245.

Greatest Common Factor of 5795,4954

To find the highest common factor of 5795,4954, we have to find the factors of both numbers and list the highest common factor.

The factors of 5795 are 1, 5, 19, 61, 95, 305, 1159, 5795

The factors of 4954 are 1, 2, 2477, 4954

The HCF of 5795,4954 is 1.

Lets's calculate GCF of 5795,4954

Greatest Common Factor (GCF) of 5795,4954 By Common Division

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

Greatest Common Factor of 5795,4954 By Matching Biggest Common Factor Method

Now, list down the factors of 5795

1,5,19,61,95,305,1159,5795

Now, list down the factors of 4954

1,2,2477,4954

Greatest Common Factor

We found the factors 5795,4954 . The biggest common factor number is the GCF number.
So the greatest common factor 5795,4954 is 1.

Lets's calculate LCM of 785,8557

Lowest Common Multiple of 785,8557 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6717245

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6717245

Therefore, the GCF of Fractions 5795/785,4954/8557 is 1/6717245

Least Common Multiple of 785,8557 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 785,8557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(785,8557) = 1

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

GCF(785,8557) x common factors =1 x 1 = 1

LCM(785,8557) = ( 785 × 8557 ) / 1

LCM(785,8557) = 6717245 / 1

LCM(785,8557) = 6717245

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FAQs on GCF of Fractions of 5795/785, 4954/8557

1. What is the HCF of 5795,4954?

The HCF of 5795,4954 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 5795/785, 4954/8557?

Answer: GCF of Numerators as per given numbers 5795/785, 4954/8557 is

GCF of Numerators i.e. for 5795,4954 is 1

LCM of denominators i.e. for 785,8557 is 6717245.

Thus, GCF of Fractions is 1/6717245.Finally, GCF of Fractions for 5795/785, 4954/8557 is 1/6717245.