How to Find GCF of 22/964, 526/350, 100/949?

GCF of 22/964, 526/350, 100/949

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 22/964, 526/350, 100/949 i.e 2/160096300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/964, 526/350, 100/949.

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 22/964,526/350,100/949?

Given fractions are 22/964,526/350,100/949

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 22/964,526/350,100/949, numerators are 22,526,100

Denominators are 964,350,949

The GCF of 22,526,100 is 2 .

LCM of 964,350,949 is 160096300.

The greatest common factor of 22/964,526/350,100/949 = [GCF of 22,526,100]/[LCM of 964,350,949]= 2/160096300

Therefore, the GCF of 22/964,526/350,100/949 is 2/160096300.

Greatest Common Factor of 22,526,100

To find the highest common factor of 22,526,100, 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 526 are 1, 2, 263, 526

The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100

The HCF of 22,526,100 is 2.

Lets's calculate GCF of 22,526,100

Greatest Common Factor (GCF) of 22,526,100 By Common Division

2	22, 526, 100
	11, 263, 50

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

Greatest Common Factor of 22,526,100 By Matching Biggest Common Factor Method

Now, list down the factors of 22

1,2,11,22

Now, list down the factors of 526

1,2,263,526

Now, list down the factors of 100

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 22,526,100 . The biggest common factor number is the GCF number.
So the greatest common factor 22,526,100 is 2.

Lets's calculate LCM of 964,350,949

Lowest Common Multiple of 964,350,949 using Common Division

2	964, 350, 949
	482, 175, 949

∴ So the LCM of the given numbers is 2 x 482 x 175 x 949 = 160096300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/160096300

Therefore, the GCF of Fractions 22/964,526/350,100/949 is 2/160096300

Least Common Multiple of 964,350,949 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 964,350,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,350,949) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(964,350,949) x common factors =1 x 2 = 2

LCM(964,350,949) = ( 964 × 350 × 949 ) / 2

LCM(964,350,949) = 320192600 / 2

LCM(964,350,949) = 160096300

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 22/964, 526/350, 100/949

1. What is the HCF of 22,526,100?

The HCF of 22,526,100 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 22/964, 526/350, 100/949?

Answer: GCF of Numerators as per given numbers 22/964, 526/350, 100/949 is

GCF of Numerators i.e. for 22,526,100 is 2

LCM of denominators i.e. for 964,350,949 is 160096300.

Thus, GCF of Fractions is 2/160096300.Finally, GCF of Fractions for 22/964, 526/350, 100/949 is 2/160096300.