How to Find GCF of 8889/472, 2758/1029?

GCF of 8889/472, 2758/1029

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 8889/472, 2758/1029 i.e 1/485688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8889/472, 2758/1029.

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 8889/472,2758/1029?

Given fractions are 8889/472,2758/1029

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 8889/472,2758/1029, numerators are 8889,2758

Denominators are 472,1029

The GCF of 8889,2758 is 1 .

LCM of 472,1029 is 485688.

The greatest common factor of 8889/472,2758/1029 = [GCF of 8889,2758]/[LCM of 472,1029]= 1/485688

Therefore, the GCF of 8889/472,2758/1029 is 1/485688.

Greatest Common Factor of 8889,2758

To find the highest common factor of 8889,2758, 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 2758 are 1, 2, 7, 14, 197, 394, 1379, 2758

The HCF of 8889,2758 is 1.

Lets's calculate GCF of 8889,2758

Greatest Common Factor (GCF) of 8889,2758 By Common Division

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

Greatest Common Factor of 8889,2758 By Matching Biggest Common Factor Method

Now, list down the factors of 8889

1,3,2963,8889

Now, list down the factors of 2758

1,2,7,14,197,394,1379,2758

Greatest Common Factor

We found the factors 8889,2758 . The biggest common factor number is the GCF number.
So the greatest common factor 8889,2758 is 1.

Lets's calculate LCM of 472,1029

Lowest Common Multiple of 472,1029 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 485688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/485688

Therefore, the GCF of Fractions 8889/472,2758/1029 is 1/485688

Least Common Multiple of 472,1029 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 472,1029 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,1029) = 1

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

GCF(472,1029) x common factors =1 x 1 = 1

LCM(472,1029) = ( 472 × 1029 ) / 1

LCM(472,1029) = 485688 / 1

LCM(472,1029) = 485688

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FAQs on GCF of Fractions of 8889/472, 2758/1029

1. What is the HCF of 8889,2758?

The HCF of 8889,2758 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 8889/472, 2758/1029?

Answer: GCF of Numerators as per given numbers 8889/472, 2758/1029 is

GCF of Numerators i.e. for 8889,2758 is 1

LCM of denominators i.e. for 472,1029 is 485688.

Thus, GCF of Fractions is 1/485688.Finally, GCF of Fractions for 8889/472, 2758/1029 is 1/485688.