How to Find GCF of 262/66, 573/24, 541/516?

GCF of 262/66, 573/24, 541/516

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 262/66, 573/24, 541/516 i.e 1/11352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 262/66, 573/24, 541/516.

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 262/66,573/24,541/516?

Given fractions are 262/66,573/24,541/516

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 262/66,573/24,541/516, numerators are 262,573,541

Denominators are 66,24,516

The GCF of 262,573,541 is 1 .

LCM of 66,24,516 is 11352.

The greatest common factor of 262/66,573/24,541/516 = [GCF of 262,573,541]/[LCM of 66,24,516]= 1/11352

Therefore, the GCF of 262/66,573/24,541/516 is 1/11352.

Greatest Common Factor of 262,573,541

To find the highest common factor of 262,573,541, we have to find the factors of both numbers and list the highest common factor.

The factors of 262 are 1, 2, 131, 262

The factors of 573 are 1, 3, 191, 573

The factors of 541 are 1, 541

The HCF of 262,573,541 is 1.

Lets's calculate GCF of 262,573,541

Greatest Common Factor (GCF) of 262,573,541 By Common Division

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

Greatest Common Factor of 262,573,541 By Matching Biggest Common Factor Method

Now, list down the factors of 262

1,2,131,262

Now, list down the factors of 573

1,3,191,573

Now, list down the factors of 541

1,541

Greatest Common Factor

We found the factors 262,573,541 . The biggest common factor number is the GCF number.
So the greatest common factor 262,573,541 is 1.

Lets's calculate LCM of 66,24,516

Lowest Common Multiple of 66,24,516 using Common Division

2	66, 24, 516
2	33, 12, 258
3	33, 6, 129
	11, 2, 43

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 2 x 43 = 11352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11352

Therefore, the GCF of Fractions 262/66,573/24,541/516 is 1/11352

Least Common Multiple of 66,24,516 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 66,24,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,24,516) = 6

common factors(in case of two or more numbers have common factors) = 12

GCF(66,24,516) x common factors =6 x 12 = 72

LCM(66,24,516) = ( 66 × 24 × 516 ) / 72

LCM(66,24,516) = 817344 / 72

LCM(66,24,516) = 11352

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FAQs on GCF of Fractions of 262/66, 573/24, 541/516

1. What is the HCF of 262,573,541?

The HCF of 262,573,541 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 262/66, 573/24, 541/516?

Answer: GCF of Numerators as per given numbers 262/66, 573/24, 541/516 is

GCF of Numerators i.e. for 262,573,541 is 1

LCM of denominators i.e. for 66,24,516 is 11352.

Thus, GCF of Fractions is 1/11352.Finally, GCF of Fractions for 262/66, 573/24, 541/516 is 1/11352.