How to Find GCF of 22/960, 93/158, 259/776?

GCF of 22/960, 93/158, 259/776

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 22/960, 93/158, 259/776 i.e 1/7356480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/960, 93/158, 259/776.

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 22/960,93/158,259/776?

Given fractions are 22/960,93/158,259/776

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 22/960,93/158,259/776, numerators are 22,93,259

Denominators are 960,158,776

The GCF of 22,93,259 is 1 .

LCM of 960,158,776 is 7356480.

The greatest common factor of 22/960,93/158,259/776 = [GCF of 22,93,259]/[LCM of 960,158,776]= 1/7356480

Therefore, the GCF of 22/960,93/158,259/776 is 1/7356480.

Greatest Common Factor of 22,93,259

To find the highest common factor of 22,93,259, we have to find the factors of both numbers and list the highest common factor.

The factors of 22 are 1, 2, 11, 22

The factors of 93 are 1, 3, 31, 93

The factors of 259 are 1, 7, 37, 259

The HCF of 22,93,259 is 1.

Lets's calculate GCF of 22,93,259

Greatest Common Factor (GCF) of 22,93,259 By Common Division

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

Greatest Common Factor of 22,93,259 By Matching Biggest Common Factor Method

Now, list down the factors of 22

1,2,11,22

Now, list down the factors of 93

1,3,31,93

Now, list down the factors of 259

1,7,37,259

Greatest Common Factor

We found the factors 22,93,259 . The biggest common factor number is the GCF number.
So the greatest common factor 22,93,259 is 1.

Lets's calculate LCM of 960,158,776

Lowest Common Multiple of 960,158,776 using Common Division

2	960, 158, 776
2	480, 79, 388
2	240, 79, 194
	120, 79, 97

∴ So the LCM of the given numbers is 2 x 2 x 2 x 120 x 79 x 97 = 7356480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7356480

Therefore, the GCF of Fractions 22/960,93/158,259/776 is 1/7356480

Least Common Multiple of 960,158,776 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 960,158,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,158,776) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(960,158,776) x common factors =2 x 8 = 16

LCM(960,158,776) = ( 960 × 158 × 776 ) / 16

LCM(960,158,776) = 117703680 / 16

LCM(960,158,776) = 7356480

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 22/960, 93/158, 259/776

1. What is the HCF of 22,93,259?

The HCF of 22,93,259 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 22/960, 93/158, 259/776?

Answer: GCF of Numerators as per given numbers 22/960, 93/158, 259/776 is

GCF of Numerators i.e. for 22,93,259 is 1

LCM of denominators i.e. for 960,158,776 is 7356480.

Thus, GCF of Fractions is 1/7356480.Finally, GCF of Fractions for 22/960, 93/158, 259/776 is 1/7356480.