How to Find GCF of 2760/178, 3352/9867?

GCF of 2760/178, 3352/9867

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 2760/178, 3352/9867 i.e 8/1756326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2760/178, 3352/9867.

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 2760/178,3352/9867?

Given fractions are 2760/178,3352/9867

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 2760/178,3352/9867, numerators are 2760,3352

Denominators are 178,9867

The GCF of 2760,3352 is 8 .

LCM of 178,9867 is 1756326.

The greatest common factor of 2760/178,3352/9867 = [GCF of 2760,3352]/[LCM of 178,9867]= 8/1756326

Therefore, the GCF of 2760/178,3352/9867 is 8/1756326.

Greatest Common Factor of 2760,3352

To find the highest common factor of 2760,3352, we have to find the factors of both numbers and list the highest common factor.

The factors of 2760 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 30, 40, 46, 60, 69, 92, 115, 120, 138, 184, 230, 276, 345, 460, 552, 690, 920, 1380, 2760

The factors of 3352 are 1, 2, 4, 8, 419, 838, 1676, 3352

The HCF of 2760,3352 is 8.

Lets's calculate GCF of 2760,3352

Greatest Common Factor (GCF) of 2760,3352 By Common Division

2	2760, 3352
2	1380, 1676
2	690, 838
	345, 419

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 2760,3352 By Matching Biggest Common Factor Method

Now, list down the factors of 2760

1,2,3,4,5,6,8,10,12,15,20,23,24,30,40,46,60,69,92,115,120,138,184,230,276,345,460,552,690,920,1380,2760

Now, list down the factors of 3352

1,2,4,8,419,838,1676,3352

Greatest Common Factor

We found the factors 2760,3352 . The biggest common factor number is the GCF number.
So the greatest common factor 2760,3352 is 8.

Lets's calculate LCM of 178,9867

Lowest Common Multiple of 178,9867 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1756326

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1756326

Therefore, the GCF of Fractions 2760/178,3352/9867 is 8/1756326

Least Common Multiple of 178,9867 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 178,9867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(178,9867) = 1

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

GCF(178,9867) x common factors =1 x 1 = 1

LCM(178,9867) = ( 178 × 9867 ) / 1

LCM(178,9867) = 1756326 / 1

LCM(178,9867) = 1756326

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2760/178, 3352/9867

1. What is the HCF of 2760,3352?

The HCF of 2760,3352 is 8

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 2760/178, 3352/9867?

Answer: GCF of Numerators as per given numbers 2760/178, 3352/9867 is

GCF of Numerators i.e. for 2760,3352 is 8

LCM of denominators i.e. for 178,9867 is 1756326.

Thus, GCF of Fractions is 8/1756326.Finally, GCF of Fractions for 2760/178, 3352/9867 is 8/1756326.