How to Find GCF of 22/87, 33/76, 352/630?

GCF of 22/87, 33/76, 352/630

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 22/87, 33/76, 352/630 i.e 11/694260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/87, 33/76, 352/630.

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 22/87,33/76,352/630?

Given fractions are 22/87,33/76,352/630

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 22/87,33/76,352/630, numerators are 22,33,352

Denominators are 87,76,630

The GCF of 22,33,352 is 11 .

LCM of 87,76,630 is 694260.

The greatest common factor of 22/87,33/76,352/630 = [GCF of 22,33,352]/[LCM of 87,76,630]= 11/694260

Therefore, the GCF of 22/87,33/76,352/630 is 11/694260.

Greatest Common Factor of 22,33,352

To find the highest common factor of 22,33,352, 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 33 are 1, 3, 11, 33

The factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

The HCF of 22,33,352 is 11.

Lets's calculate GCF of 22,33,352

Greatest Common Factor (GCF) of 22,33,352 By Common Division

11	22, 33, 352
	2, 3, 32

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 22,33,352 By Matching Biggest Common Factor Method

Now, list down the factors of 22

1,2,11,22

Now, list down the factors of 33

1,3,11,33

Now, list down the factors of 352

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 22,33,352 . The biggest common factor number is the GCF number.
So the greatest common factor 22,33,352 is 11.

Lets's calculate LCM of 87,76,630

Lowest Common Multiple of 87,76,630 using Common Division

2	87, 76, 630
3	87, 38, 315
	29, 38, 105

∴ So the LCM of the given numbers is 2 x 3 x 29 x 38 x 105 = 694260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/694260

Therefore, the GCF of Fractions 22/87,33/76,352/630 is 11/694260

Least Common Multiple of 87,76,630 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 87,76,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,76,630) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(87,76,630) x common factors =1 x 6 = 6

LCM(87,76,630) = ( 87 × 76 × 630 ) / 6

LCM(87,76,630) = 4165560 / 6

LCM(87,76,630) = 694260

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 22/87, 33/76, 352/630

1. What is the HCF of 22,33,352?

The HCF of 22,33,352 is 11

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 22/87, 33/76, 352/630?

Answer: GCF of Numerators as per given numbers 22/87, 33/76, 352/630 is

GCF of Numerators i.e. for 22,33,352 is 11

LCM of denominators i.e. for 87,76,630 is 694260.

Thus, GCF of Fractions is 11/694260.Finally, GCF of Fractions for 22/87, 33/76, 352/630 is 11/694260.