How to Find GCF of 9557/359, 8068/4650?

GCF of 9557/359, 8068/4650

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 9557/359, 8068/4650 i.e 1/1669350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9557/359, 8068/4650.

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 9557/359,8068/4650?

Given fractions are 9557/359,8068/4650

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 9557/359,8068/4650, numerators are 9557,8068

Denominators are 359,4650

The GCF of 9557,8068 is 1 .

LCM of 359,4650 is 1669350.

The greatest common factor of 9557/359,8068/4650 = [GCF of 9557,8068]/[LCM of 359,4650]= 1/1669350

Therefore, the GCF of 9557/359,8068/4650 is 1/1669350.

Greatest Common Factor of 9557,8068

To find the highest common factor of 9557,8068, we have to find the factors of both numbers and list the highest common factor.

The factors of 9557 are 1, 19, 503, 9557

The factors of 8068 are 1, 2, 4, 2017, 4034, 8068

The HCF of 9557,8068 is 1.

Lets's calculate GCF of 9557,8068

Greatest Common Factor (GCF) of 9557,8068 By Common Division

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

Greatest Common Factor of 9557,8068 By Matching Biggest Common Factor Method

Now, list down the factors of 9557

1,19,503,9557

Now, list down the factors of 8068

1,2,4,2017,4034,8068

Greatest Common Factor

We found the factors 9557,8068 . The biggest common factor number is the GCF number.
So the greatest common factor 9557,8068 is 1.

Lets's calculate LCM of 359,4650

Lowest Common Multiple of 359,4650 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1669350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1669350

Therefore, the GCF of Fractions 9557/359,8068/4650 is 1/1669350

Least Common Multiple of 359,4650 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 359,4650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,4650) = 1

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

GCF(359,4650) x common factors =1 x 1 = 1

LCM(359,4650) = ( 359 × 4650 ) / 1

LCM(359,4650) = 1669350 / 1

LCM(359,4650) = 1669350

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FAQs on GCF of Fractions of 9557/359, 8068/4650

1. What is the HCF of 9557,8068?

The HCF of 9557,8068 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 9557/359, 8068/4650?

Answer: GCF of Numerators as per given numbers 9557/359, 8068/4650 is

GCF of Numerators i.e. for 9557,8068 is 1

LCM of denominators i.e. for 359,4650 is 1669350.

Thus, GCF of Fractions is 1/1669350.Finally, GCF of Fractions for 9557/359, 8068/4650 is 1/1669350.