How to Find GCF of 7956/360, 2539/222?

GCF of 7956/360, 2539/222

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 7956/360, 2539/222 i.e 1/13320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7956/360, 2539/222.

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 7956/360,2539/222?

Given fractions are 7956/360,2539/222

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 7956/360,2539/222, numerators are 7956,2539

Denominators are 360,222

The GCF of 7956,2539 is 1 .

LCM of 360,222 is 13320.

The greatest common factor of 7956/360,2539/222 = [GCF of 7956,2539]/[LCM of 360,222]= 1/13320

Therefore, the GCF of 7956/360,2539/222 is 1/13320.

Greatest Common Factor of 7956,2539

To find the highest common factor of 7956,2539, we have to find the factors of both numbers and list the highest common factor.

The factors of 7956 are 1, 2, 3, 4, 6, 9, 12, 13, 17, 18, 26, 34, 36, 39, 51, 52, 68, 78, 102, 117, 153, 156, 204, 221, 234, 306, 442, 468, 612, 663, 884, 1326, 1989, 2652, 3978, 7956

The factors of 2539 are 1, 2539

The HCF of 7956,2539 is 1.

Lets's calculate GCF of 7956,2539

Greatest Common Factor (GCF) of 7956,2539 By Common Division

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

Greatest Common Factor of 7956,2539 By Matching Biggest Common Factor Method

Now, list down the factors of 7956

1,2,3,4,6,9,12,13,17,18,26,34,36,39,51,52,68,78,102,117,153,156,204,221,234,306,442,468,612,663,884,1326,1989,2652,3978,7956

Now, list down the factors of 2539

1,2539

Greatest Common Factor

We found the factors 7956,2539 . The biggest common factor number is the GCF number.
So the greatest common factor 7956,2539 is 1.

Lets's calculate LCM of 360,222

Lowest Common Multiple of 360,222 using Common Division

2	360, 222
3	180, 111
	60, 37

∴ So the LCM of the given numbers is 2 x 3 x 60 x 37 = 13320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13320

Therefore, the GCF of Fractions 7956/360,2539/222 is 1/13320

Least Common Multiple of 360,222 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 360,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,222) = 6

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

GCF(360,222) x common factors =6 x 1 = 6

LCM(360,222) = ( 360 × 222 ) / 6

LCM(360,222) = 79920 / 6

LCM(360,222) = 13320

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7956/360, 2539/222

1. What is the HCF of 7956,2539?

The HCF of 7956,2539 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 7956/360, 2539/222?

Answer: GCF of Numerators as per given numbers 7956/360, 2539/222 is

GCF of Numerators i.e. for 7956,2539 is 1

LCM of denominators i.e. for 360,222 is 13320.

Thus, GCF of Fractions is 1/13320.Finally, GCF of Fractions for 7956/360, 2539/222 is 1/13320.