How to Find GCF of 4541/222, 7073/9720?

GCF of 4541/222, 7073/9720

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 4541/222, 7073/9720 i.e 1/359640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4541/222, 7073/9720.

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 4541/222,7073/9720?

Given fractions are 4541/222,7073/9720

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 4541/222,7073/9720, numerators are 4541,7073

Denominators are 222,9720

The GCF of 4541,7073 is 1 .

LCM of 222,9720 is 359640.

The greatest common factor of 4541/222,7073/9720 = [GCF of 4541,7073]/[LCM of 222,9720]= 1/359640

Therefore, the GCF of 4541/222,7073/9720 is 1/359640.

Greatest Common Factor of 4541,7073

To find the highest common factor of 4541,7073, we have to find the factors of both numbers and list the highest common factor.

The factors of 4541 are 1, 19, 239, 4541

The factors of 7073 are 1, 11, 643, 7073

The HCF of 4541,7073 is 1.

Lets's calculate GCF of 4541,7073

Greatest Common Factor (GCF) of 4541,7073 By Common Division

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

Greatest Common Factor of 4541,7073 By Matching Biggest Common Factor Method

Now, list down the factors of 4541

1,19,239,4541

Now, list down the factors of 7073

1,11,643,7073

Greatest Common Factor

We found the factors 4541,7073 . The biggest common factor number is the GCF number.
So the greatest common factor 4541,7073 is 1.

Lets's calculate LCM of 222,9720

Lowest Common Multiple of 222,9720 using Common Division

2	222, 9720
3	111, 4860
	37, 1620

∴ So the LCM of the given numbers is 2 x 3 x 37 x 1620 = 359640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/359640

Therefore, the GCF of Fractions 4541/222,7073/9720 is 1/359640

Least Common Multiple of 222,9720 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 222,9720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,9720) = 6

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

GCF(222,9720) x common factors =6 x 1 = 6

LCM(222,9720) = ( 222 × 9720 ) / 6

LCM(222,9720) = 2157840 / 6

LCM(222,9720) = 359640

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FAQs on GCF of Fractions of 4541/222, 7073/9720

1. What is the HCF of 4541,7073?

The HCF of 4541,7073 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 4541/222, 7073/9720?

Answer: GCF of Numerators as per given numbers 4541/222, 7073/9720 is

GCF of Numerators i.e. for 4541,7073 is 1

LCM of denominators i.e. for 222,9720 is 359640.

Thus, GCF of Fractions is 1/359640.Finally, GCF of Fractions for 4541/222, 7073/9720 is 1/359640.