How to Find GCF of 4994/855, 7100/8845?

GCF of 4994/855, 7100/8845

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 4994/855, 7100/8845 i.e 2/1512495 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4994/855, 7100/8845.

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 4994/855,7100/8845?

Given fractions are 4994/855,7100/8845

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 4994/855,7100/8845, numerators are 4994,7100

Denominators are 855,8845

The GCF of 4994,7100 is 2 .

LCM of 855,8845 is 1512495.

The greatest common factor of 4994/855,7100/8845 = [GCF of 4994,7100]/[LCM of 855,8845]= 2/1512495

Therefore, the GCF of 4994/855,7100/8845 is 2/1512495.

Greatest Common Factor of 4994,7100

To find the highest common factor of 4994,7100, we have to find the factors of both numbers and list the highest common factor.

The factors of 4994 are 1, 2, 11, 22, 227, 454, 2497, 4994

The factors of 7100 are 1, 2, 4, 5, 10, 20, 25, 50, 71, 100, 142, 284, 355, 710, 1420, 1775, 3550, 7100

The HCF of 4994,7100 is 2.

Lets's calculate GCF of 4994,7100

Greatest Common Factor (GCF) of 4994,7100 By Common Division

2	4994, 7100
	2497, 3550

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

Greatest Common Factor of 4994,7100 By Matching Biggest Common Factor Method

Now, list down the factors of 4994

1,2,11,22,227,454,2497,4994

Now, list down the factors of 7100

1,2,4,5,10,20,25,50,71,100,142,284,355,710,1420,1775,3550,7100

Greatest Common Factor

We found the factors 4994,7100 . The biggest common factor number is the GCF number.
So the greatest common factor 4994,7100 is 2.

Lets's calculate LCM of 855,8845

Lowest Common Multiple of 855,8845 using Common Division

5	855, 8845
	171, 1769

∴ So the LCM of the given numbers is 5 x 171 x 1769 = 1512495

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1512495

Therefore, the GCF of Fractions 4994/855,7100/8845 is 2/1512495

Least Common Multiple of 855,8845 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 855,8845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(855,8845) = 5

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

GCF(855,8845) x common factors =5 x 1 = 5

LCM(855,8845) = ( 855 × 8845 ) / 5

LCM(855,8845) = 7562475 / 5

LCM(855,8845) = 1512495

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4994/855, 7100/8845

1. What is the HCF of 4994,7100?

The HCF of 4994,7100 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 4994/855, 7100/8845?

Answer: GCF of Numerators as per given numbers 4994/855, 7100/8845 is

GCF of Numerators i.e. for 4994,7100 is 2

LCM of denominators i.e. for 855,8845 is 1512495.

Thus, GCF of Fractions is 2/1512495.Finally, GCF of Fractions for 4994/855, 7100/8845 is 2/1512495.