How to Find GCF of 34/765, 22/950, 708/452?

GCF of 34/765, 22/950, 708/452

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 34/765, 22/950, 708/452 i.e 2/32849100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/765, 22/950, 708/452.

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 34/765,22/950,708/452?

Given fractions are 34/765,22/950,708/452

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 34/765,22/950,708/452, numerators are 34,22,708

Denominators are 765,950,452

The GCF of 34,22,708 is 2 .

LCM of 765,950,452 is 32849100.

The greatest common factor of 34/765,22/950,708/452 = [GCF of 34,22,708]/[LCM of 765,950,452]= 2/32849100

Therefore, the GCF of 34/765,22/950,708/452 is 2/32849100.

Greatest Common Factor of 34,22,708

To find the highest common factor of 34,22,708, we have to find the factors of both numbers and list the highest common factor.

The factors of 34 are 1, 2, 17, 34

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

The factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

The HCF of 34,22,708 is 2.

Lets's calculate GCF of 34,22,708

Greatest Common Factor (GCF) of 34,22,708 By Common Division

2	34, 22, 708
	17, 11, 354

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

Greatest Common Factor of 34,22,708 By Matching Biggest Common Factor Method

Now, list down the factors of 34

1,2,17,34

Now, list down the factors of 22

1,2,11,22

Now, list down the factors of 708

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 34,22,708 . The biggest common factor number is the GCF number.
So the greatest common factor 34,22,708 is 2.

Lets's calculate LCM of 765,950,452

Lowest Common Multiple of 765,950,452 using Common Division

2	765, 950, 452
5	765, 475, 226
	153, 95, 226

∴ So the LCM of the given numbers is 2 x 5 x 153 x 95 x 226 = 32849100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32849100

Therefore, the GCF of Fractions 34/765,22/950,708/452 is 2/32849100

Least Common Multiple of 765,950,452 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 765,950,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,950,452) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(765,950,452) x common factors =1 x 10 = 10

LCM(765,950,452) = ( 765 × 950 × 452 ) / 10

LCM(765,950,452) = 328491000 / 10

LCM(765,950,452) = 32849100

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 34/765, 22/950, 708/452

1. What is the HCF of 34,22,708?

The HCF of 34,22,708 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 34/765, 22/950, 708/452?

Answer: GCF of Numerators as per given numbers 34/765, 22/950, 708/452 is

GCF of Numerators i.e. for 34,22,708 is 2

LCM of denominators i.e. for 765,950,452 is 32849100.

Thus, GCF of Fractions is 2/32849100.Finally, GCF of Fractions for 34/765, 22/950, 708/452 is 2/32849100.