How to Find GCF of 572/44, 770/515?

GCF of 572/44, 770/515

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 572/44, 770/515 i.e 22/22660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 572/44, 770/515.

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 572/44,770/515?

Given fractions are 572/44,770/515

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 572/44,770/515, numerators are 572,770

Denominators are 44,515

The GCF of 572,770 is 22 .

LCM of 44,515 is 22660.

The greatest common factor of 572/44,770/515 = [GCF of 572,770]/[LCM of 44,515]= 22/22660

Therefore, the GCF of 572/44,770/515 is 22/22660.

Greatest Common Factor of 572,770

To find the highest common factor of 572,770, we have to find the factors of both numbers and list the highest common factor.

The factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

The factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

The HCF of 572,770 is 22.

Lets's calculate GCF of 572,770

Greatest Common Factor (GCF) of 572,770 By Common Division

2	572, 770
11	286, 385
	26, 35

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 572,770 By Matching Biggest Common Factor Method

Now, list down the factors of 572

1,2,4,11,13,22,26,44,52,143,286,572

Now, list down the factors of 770

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 572,770 . The biggest common factor number is the GCF number.
So the greatest common factor 572,770 is 22.

Lets's calculate LCM of 44,515

Lowest Common Multiple of 44,515 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 22660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/22660

Therefore, the GCF of Fractions 572/44,770/515 is 22/22660

Least Common Multiple of 44,515 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 44,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,515) = 1

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

GCF(44,515) x common factors =1 x 1 = 1

LCM(44,515) = ( 44 × 515 ) / 1

LCM(44,515) = 22660 / 1

LCM(44,515) = 22660

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FAQs on GCF of Fractions of 572/44, 770/515

1. What is the HCF of 572,770?

The HCF of 572,770 is 22

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 572/44, 770/515?

Answer: GCF of Numerators as per given numbers 572/44, 770/515 is

GCF of Numerators i.e. for 572,770 is 22

LCM of denominators i.e. for 44,515 is 22660.

Thus, GCF of Fractions is 22/22660.Finally, GCF of Fractions for 572/44, 770/515 is 22/22660.