How to Find GCF of 7112/287, 9889/781?

GCF of 7112/287, 9889/781

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 7112/287, 9889/781 i.e 1/224147 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7112/287, 9889/781.

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 7112/287,9889/781?

Given fractions are 7112/287,9889/781

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 7112/287,9889/781, numerators are 7112,9889

Denominators are 287,781

The GCF of 7112,9889 is 1 .

LCM of 287,781 is 224147.

The greatest common factor of 7112/287,9889/781 = [GCF of 7112,9889]/[LCM of 287,781]= 1/224147

Therefore, the GCF of 7112/287,9889/781 is 1/224147.

Greatest Common Factor of 7112,9889

To find the highest common factor of 7112,9889, we have to find the factors of both numbers and list the highest common factor.

The factors of 7112 are 1, 2, 4, 7, 8, 14, 28, 56, 127, 254, 508, 889, 1016, 1778, 3556, 7112

The factors of 9889 are 1, 11, 29, 31, 319, 341, 899, 9889

The HCF of 7112,9889 is 1.

Lets's calculate GCF of 7112,9889

Greatest Common Factor (GCF) of 7112,9889 By Common Division

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

Greatest Common Factor of 7112,9889 By Matching Biggest Common Factor Method

Now, list down the factors of 7112

1,2,4,7,8,14,28,56,127,254,508,889,1016,1778,3556,7112

Now, list down the factors of 9889

1,11,29,31,319,341,899,9889

Greatest Common Factor

We found the factors 7112,9889 . The biggest common factor number is the GCF number.
So the greatest common factor 7112,9889 is 1.

Lets's calculate LCM of 287,781

Lowest Common Multiple of 287,781 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 224147

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/224147

Therefore, the GCF of Fractions 7112/287,9889/781 is 1/224147

Least Common Multiple of 287,781 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 287,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(287,781) = 1

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

GCF(287,781) x common factors =1 x 1 = 1

LCM(287,781) = ( 287 × 781 ) / 1

LCM(287,781) = 224147 / 1

LCM(287,781) = 224147

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7112/287, 9889/781

1. What is the HCF of 7112,9889?

The HCF of 7112,9889 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 7112/287, 9889/781?

Answer: GCF of Numerators as per given numbers 7112/287, 9889/781 is

GCF of Numerators i.e. for 7112,9889 is 1

LCM of denominators i.e. for 287,781 is 224147.

Thus, GCF of Fractions is 1/224147.Finally, GCF of Fractions for 7112/287, 9889/781 is 1/224147.