How to Find GCF of 9598/789, 6707/2221?

GCF of 9598/789, 6707/2221

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 9598/789, 6707/2221 i.e 1/1752369 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9598/789, 6707/2221.

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 9598/789,6707/2221?

Given fractions are 9598/789,6707/2221

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 9598/789,6707/2221, numerators are 9598,6707

Denominators are 789,2221

The GCF of 9598,6707 is 1 .

LCM of 789,2221 is 1752369.

The greatest common factor of 9598/789,6707/2221 = [GCF of 9598,6707]/[LCM of 789,2221]= 1/1752369

Therefore, the GCF of 9598/789,6707/2221 is 1/1752369.

Greatest Common Factor of 9598,6707

To find the highest common factor of 9598,6707, we have to find the factors of both numbers and list the highest common factor.

The factors of 9598 are 1, 2, 4799, 9598

The factors of 6707 are 1, 19, 353, 6707

The HCF of 9598,6707 is 1.

Lets's calculate GCF of 9598,6707

Greatest Common Factor (GCF) of 9598,6707 By Common Division

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

Greatest Common Factor of 9598,6707 By Matching Biggest Common Factor Method

Now, list down the factors of 9598

1,2,4799,9598

Now, list down the factors of 6707

1,19,353,6707

Greatest Common Factor

We found the factors 9598,6707 . The biggest common factor number is the GCF number.
So the greatest common factor 9598,6707 is 1.

Lets's calculate LCM of 789,2221

Lowest Common Multiple of 789,2221 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1752369

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1752369

Therefore, the GCF of Fractions 9598/789,6707/2221 is 1/1752369

Least Common Multiple of 789,2221 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 789,2221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,2221) = 1

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

GCF(789,2221) x common factors =1 x 1 = 1

LCM(789,2221) = ( 789 × 2221 ) / 1

LCM(789,2221) = 1752369 / 1

LCM(789,2221) = 1752369

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FAQs on GCF of Fractions of 9598/789, 6707/2221

1. What is the HCF of 9598,6707?

The HCF of 9598,6707 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 9598/789, 6707/2221?

Answer: GCF of Numerators as per given numbers 9598/789, 6707/2221 is

GCF of Numerators i.e. for 9598,6707 is 1

LCM of denominators i.e. for 789,2221 is 1752369.

Thus, GCF of Fractions is 1/1752369.Finally, GCF of Fractions for 9598/789, 6707/2221 is 1/1752369.