How to Find GCF of 64/667, 37/274, 689/457?

GCF of 64/667, 37/274, 689/457

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 64/667, 37/274, 689/457 i.e 1/83520406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 64/667, 37/274, 689/457.

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 64/667,37/274,689/457?

Given fractions are 64/667,37/274,689/457

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 64/667,37/274,689/457, numerators are 64,37,689

Denominators are 667,274,457

The GCF of 64,37,689 is 1 .

LCM of 667,274,457 is 83520406.

The greatest common factor of 64/667,37/274,689/457 = [GCF of 64,37,689]/[LCM of 667,274,457]= 1/83520406

Therefore, the GCF of 64/667,37/274,689/457 is 1/83520406.

Greatest Common Factor of 64,37,689

To find the highest common factor of 64,37,689, we have to find the factors of both numbers and list the highest common factor.

The factors of 64 are 1, 2, 4, 8, 16, 32, 64

The factors of 37 are 1, 37

The factors of 689 are 1, 13, 53, 689

The HCF of 64,37,689 is 1.

Lets's calculate GCF of 64,37,689

Greatest Common Factor (GCF) of 64,37,689 By Common Division

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

Greatest Common Factor of 64,37,689 By Matching Biggest Common Factor Method

Now, list down the factors of 64

1,2,4,8,16,32,64

Now, list down the factors of 37

1,37

Now, list down the factors of 689

1,13,53,689

Greatest Common Factor

We found the factors 64,37,689 . The biggest common factor number is the GCF number.
So the greatest common factor 64,37,689 is 1.

Lets's calculate LCM of 667,274,457

Lowest Common Multiple of 667,274,457 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 83520406

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83520406

Therefore, the GCF of Fractions 64/667,37/274,689/457 is 1/83520406

Least Common Multiple of 667,274,457 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 667,274,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(667,274,457) = 1

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

GCF(667,274,457) x common factors =1 x 1 = 1

LCM(667,274,457) = ( 667 × 274 × 457 ) / 1

LCM(667,274,457) = 83520406 / 1

LCM(667,274,457) = 83520406

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FAQs on GCF of Fractions of 64/667, 37/274, 689/457

1. What is the HCF of 64,37,689?

The HCF of 64,37,689 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 64/667, 37/274, 689/457?

Answer: GCF of Numerators as per given numbers 64/667, 37/274, 689/457 is

GCF of Numerators i.e. for 64,37,689 is 1

LCM of denominators i.e. for 667,274,457 is 83520406.

Thus, GCF of Fractions is 1/83520406.Finally, GCF of Fractions for 64/667, 37/274, 689/457 is 1/83520406.