How to Find GCF of 4176/976, 5510/9786?

GCF of 4176/976, 5510/9786

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 4176/976, 5510/9786 i.e 58/4775568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4176/976, 5510/9786.

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 4176/976,5510/9786?

Given fractions are 4176/976,5510/9786

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 4176/976,5510/9786, numerators are 4176,5510

Denominators are 976,9786

The GCF of 4176,5510 is 58 .

LCM of 976,9786 is 4775568.

The greatest common factor of 4176/976,5510/9786 = [GCF of 4176,5510]/[LCM of 976,9786]= 58/4775568

Therefore, the GCF of 4176/976,5510/9786 is 58/4775568.

Greatest Common Factor of 4176,5510

To find the highest common factor of 4176,5510, we have to find the factors of both numbers and list the highest common factor.

The factors of 4176 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 36, 48, 58, 72, 87, 116, 144, 174, 232, 261, 348, 464, 522, 696, 1044, 1392, 2088, 4176

The factors of 5510 are 1, 2, 5, 10, 19, 29, 38, 58, 95, 145, 190, 290, 551, 1102, 2755, 5510

The HCF of 4176,5510 is 58.

Lets's calculate GCF of 4176,5510

Greatest Common Factor (GCF) of 4176,5510 By Common Division

2	4176, 5510
29	2088, 2755
	72, 95

∴ So the GCF of the given numbers is 2 x 29 = 58

Greatest Common Factor of 4176,5510 By Matching Biggest Common Factor Method

Now, list down the factors of 4176

1,2,3,4,6,8,9,12,16,18,24,29,36,48,58,72,87,116,144,174,232,261,348,464,522,696,1044,1392,2088,4176

Now, list down the factors of 5510

1,2,5,10,19,29,38,58,95,145,190,290,551,1102,2755,5510

Greatest Common Factor

We found the factors 4176,5510 . The biggest common factor number is the GCF number.
So the greatest common factor 4176,5510 is 58.

Lets's calculate LCM of 976,9786

Lowest Common Multiple of 976,9786 using Common Division

2	976, 9786
	488, 4893

∴ So the LCM of the given numbers is 2 x 488 x 4893 = 4775568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/4775568

Therefore, the GCF of Fractions 4176/976,5510/9786 is 58/4775568

Least Common Multiple of 976,9786 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 976,9786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,9786) = 2

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

GCF(976,9786) x common factors =2 x 1 = 2

LCM(976,9786) = ( 976 × 9786 ) / 2

LCM(976,9786) = 9551136 / 2

LCM(976,9786) = 4775568

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4176/976, 5510/9786

1. What is the HCF of 4176,5510?

The HCF of 4176,5510 is 58

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 4176/976, 5510/9786?

Answer: GCF of Numerators as per given numbers 4176/976, 5510/9786 is

GCF of Numerators i.e. for 4176,5510 is 58

LCM of denominators i.e. for 976,9786 is 4775568.

Thus, GCF of Fractions is 58/4775568.Finally, GCF of Fractions for 4176/976, 5510/9786 is 58/4775568.