How to Find GCF of 66/537, 92/820, 374/304?

GCF of 66/537, 92/820, 374/304

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 66/537, 92/820, 374/304 i.e 2/33465840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/537, 92/820, 374/304.

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 66/537,92/820,374/304?

Given fractions are 66/537,92/820,374/304

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 66/537,92/820,374/304, numerators are 66,92,374

Denominators are 537,820,304

The GCF of 66,92,374 is 2 .

LCM of 537,820,304 is 33465840.

The greatest common factor of 66/537,92/820,374/304 = [GCF of 66,92,374]/[LCM of 537,820,304]= 2/33465840

Therefore, the GCF of 66/537,92/820,374/304 is 2/33465840.

Greatest Common Factor of 66,92,374

To find the highest common factor of 66,92,374, we have to find the factors of both numbers and list the highest common factor.

The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66

The factors of 92 are 1, 2, 4, 23, 46, 92

The factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374

The HCF of 66,92,374 is 2.

Lets's calculate GCF of 66,92,374

Greatest Common Factor (GCF) of 66,92,374 By Common Division

2	66, 92, 374
	33, 46, 187

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

Greatest Common Factor of 66,92,374 By Matching Biggest Common Factor Method

Now, list down the factors of 66

1,2,3,6,11,22,33,66

Now, list down the factors of 92

1,2,4,23,46,92

Now, list down the factors of 374

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 66,92,374 . The biggest common factor number is the GCF number.
So the greatest common factor 66,92,374 is 2.

Lets's calculate LCM of 537,820,304

Lowest Common Multiple of 537,820,304 using Common Division

2	537, 820, 304
2	537, 410, 152
	537, 205, 76

∴ So the LCM of the given numbers is 2 x 2 x 537 x 205 x 76 = 33465840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/33465840

Therefore, the GCF of Fractions 66/537,92/820,374/304 is 2/33465840

Least Common Multiple of 537,820,304 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 537,820,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(537,820,304) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(537,820,304) x common factors =1 x 4 = 4

LCM(537,820,304) = ( 537 × 820 × 304 ) / 4

LCM(537,820,304) = 133863360 / 4

LCM(537,820,304) = 33465840

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 66/537, 92/820, 374/304

1. What is the HCF of 66,92,374?

The HCF of 66,92,374 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 66/537, 92/820, 374/304?

Answer: GCF of Numerators as per given numbers 66/537, 92/820, 374/304 is

GCF of Numerators i.e. for 66,92,374 is 2

LCM of denominators i.e. for 537,820,304 is 33465840.

Thus, GCF of Fractions is 2/33465840.Finally, GCF of Fractions for 66/537, 92/820, 374/304 is 2/33465840.