How to Find GCF of 8889/969, 1955/6047?

GCF of 8889/969, 1955/6047

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 8889/969, 1955/6047 i.e 1/5859543 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8889/969, 1955/6047.

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 8889/969,1955/6047?

Given fractions are 8889/969,1955/6047

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 8889/969,1955/6047, numerators are 8889,1955

Denominators are 969,6047

The GCF of 8889,1955 is 1 .

LCM of 969,6047 is 5859543.

The greatest common factor of 8889/969,1955/6047 = [GCF of 8889,1955]/[LCM of 969,6047]= 1/5859543

Therefore, the GCF of 8889/969,1955/6047 is 1/5859543.

Greatest Common Factor of 8889,1955

To find the highest common factor of 8889,1955, we have to find the factors of both numbers and list the highest common factor.

The factors of 8889 are 1, 3, 2963, 8889

The factors of 1955 are 1, 5, 17, 23, 85, 115, 391, 1955

The HCF of 8889,1955 is 1.

Lets's calculate GCF of 8889,1955

Greatest Common Factor (GCF) of 8889,1955 By Common Division

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

Greatest Common Factor of 8889,1955 By Matching Biggest Common Factor Method

Now, list down the factors of 8889

1,3,2963,8889

Now, list down the factors of 1955

1,5,17,23,85,115,391,1955

Greatest Common Factor

We found the factors 8889,1955 . The biggest common factor number is the GCF number.
So the greatest common factor 8889,1955 is 1.

Lets's calculate LCM of 969,6047

Lowest Common Multiple of 969,6047 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5859543

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5859543

Therefore, the GCF of Fractions 8889/969,1955/6047 is 1/5859543

Least Common Multiple of 969,6047 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 969,6047 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,6047) = 1

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

GCF(969,6047) x common factors =1 x 1 = 1

LCM(969,6047) = ( 969 × 6047 ) / 1

LCM(969,6047) = 5859543 / 1

LCM(969,6047) = 5859543

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FAQs on GCF of Fractions of 8889/969, 1955/6047

1. What is the HCF of 8889,1955?

The HCF of 8889,1955 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 8889/969, 1955/6047?

Answer: GCF of Numerators as per given numbers 8889/969, 1955/6047 is

GCF of Numerators i.e. for 8889,1955 is 1

LCM of denominators i.e. for 969,6047 is 5859543.

Thus, GCF of Fractions is 1/5859543.Finally, GCF of Fractions for 8889/969, 1955/6047 is 1/5859543.