How to Find GCF of 989/439, 7786/2200?

GCF of 989/439, 7786/2200

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 989/439, 7786/2200 i.e 1/965800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 989/439, 7786/2200.

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 989/439,7786/2200?

Given fractions are 989/439,7786/2200

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 989/439,7786/2200, numerators are 989,7786

Denominators are 439,2200

The GCF of 989,7786 is 1 .

LCM of 439,2200 is 965800.

The greatest common factor of 989/439,7786/2200 = [GCF of 989,7786]/[LCM of 439,2200]= 1/965800

Therefore, the GCF of 989/439,7786/2200 is 1/965800.

Greatest Common Factor of 989,7786

To find the highest common factor of 989,7786, we have to find the factors of both numbers and list the highest common factor.

The factors of 989 are 1, 23, 43, 989

The factors of 7786 are 1, 2, 17, 34, 229, 458, 3893, 7786

The HCF of 989,7786 is 1.

Lets's calculate GCF of 989,7786

Greatest Common Factor (GCF) of 989,7786 By Common Division

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

Greatest Common Factor of 989,7786 By Matching Biggest Common Factor Method

Now, list down the factors of 989

1,23,43,989

Now, list down the factors of 7786

1,2,17,34,229,458,3893,7786

Greatest Common Factor

We found the factors 989,7786 . The biggest common factor number is the GCF number.
So the greatest common factor 989,7786 is 1.

Lets's calculate LCM of 439,2200

Lowest Common Multiple of 439,2200 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 965800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/965800

Therefore, the GCF of Fractions 989/439,7786/2200 is 1/965800

Least Common Multiple of 439,2200 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 439,2200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(439,2200) = 1

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

GCF(439,2200) x common factors =1 x 1 = 1

LCM(439,2200) = ( 439 × 2200 ) / 1

LCM(439,2200) = 965800 / 1

LCM(439,2200) = 965800

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FAQs on GCF of Fractions of 989/439, 7786/2200

1. What is the HCF of 989,7786?

The HCF of 989,7786 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 989/439, 7786/2200?

Answer: GCF of Numerators as per given numbers 989/439, 7786/2200 is

GCF of Numerators i.e. for 989,7786 is 1

LCM of denominators i.e. for 439,2200 is 965800.

Thus, GCF of Fractions is 1/965800.Finally, GCF of Fractions for 989/439, 7786/2200 is 1/965800.