How to Find GCF of 9878/581, 7212/9192?

GCF of 9878/581, 7212/9192

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 9878/581, 7212/9192 i.e 2/5340552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9878/581, 7212/9192.

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 9878/581,7212/9192?

Given fractions are 9878/581,7212/9192

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 9878/581,7212/9192, numerators are 9878,7212

Denominators are 581,9192

The GCF of 9878,7212 is 2 .

LCM of 581,9192 is 5340552.

The greatest common factor of 9878/581,7212/9192 = [GCF of 9878,7212]/[LCM of 581,9192]= 2/5340552

Therefore, the GCF of 9878/581,7212/9192 is 2/5340552.

Greatest Common Factor of 9878,7212

To find the highest common factor of 9878,7212, we have to find the factors of both numbers and list the highest common factor.

The factors of 9878 are 1, 2, 11, 22, 449, 898, 4939, 9878

The factors of 7212 are 1, 2, 3, 4, 6, 12, 601, 1202, 1803, 2404, 3606, 7212

The HCF of 9878,7212 is 2.

Lets's calculate GCF of 9878,7212

Greatest Common Factor (GCF) of 9878,7212 By Common Division

2	9878, 7212
	4939, 3606

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9878,7212 By Matching Biggest Common Factor Method

Now, list down the factors of 9878

1,2,11,22,449,898,4939,9878

Now, list down the factors of 7212

1,2,3,4,6,12,601,1202,1803,2404,3606,7212

Greatest Common Factor

We found the factors 9878,7212 . The biggest common factor number is the GCF number.
So the greatest common factor 9878,7212 is 2.

Lets's calculate LCM of 581,9192

Lowest Common Multiple of 581,9192 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5340552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5340552

Therefore, the GCF of Fractions 9878/581,7212/9192 is 2/5340552

Least Common Multiple of 581,9192 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 581,9192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(581,9192) = 1

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

GCF(581,9192) x common factors =1 x 1 = 1

LCM(581,9192) = ( 581 × 9192 ) / 1

LCM(581,9192) = 5340552 / 1

LCM(581,9192) = 5340552

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9878/581, 7212/9192

1. What is the HCF of 9878,7212?

The HCF of 9878,7212 is 2

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 9878/581, 7212/9192?

Answer: GCF of Numerators as per given numbers 9878/581, 7212/9192 is

GCF of Numerators i.e. for 9878,7212 is 2

LCM of denominators i.e. for 581,9192 is 5340552.

Thus, GCF of Fractions is 2/5340552.Finally, GCF of Fractions for 9878/581, 7212/9192 is 2/5340552.