How to Find GCF of 755/37, 784/6039?

GCF of 755/37, 784/6039

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 755/37, 784/6039 i.e 1/223443 easily. The following is the detailed procedure to determine the greatest common factor of fractions 755/37, 784/6039.

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 755/37,784/6039?

Given fractions are 755/37,784/6039

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 755/37,784/6039, numerators are 755,784

Denominators are 37,6039

The GCF of 755,784 is 1 .

LCM of 37,6039 is 223443.

The greatest common factor of 755/37,784/6039 = [GCF of 755,784]/[LCM of 37,6039]= 1/223443

Therefore, the GCF of 755/37,784/6039 is 1/223443.

Greatest Common Factor of 755,784

To find the highest common factor of 755,784, we have to find the factors of both numbers and list the highest common factor.

The factors of 755 are 1, 5, 151, 755

The factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

The HCF of 755,784 is 1.

Lets's calculate GCF of 755,784

Greatest Common Factor (GCF) of 755,784 By Common Division

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

Greatest Common Factor of 755,784 By Matching Biggest Common Factor Method

Now, list down the factors of 755

1,5,151,755

Now, list down the factors of 784

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 755,784 . The biggest common factor number is the GCF number.
So the greatest common factor 755,784 is 1.

Lets's calculate LCM of 37,6039

Lowest Common Multiple of 37,6039 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 223443

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/223443

Therefore, the GCF of Fractions 755/37,784/6039 is 1/223443

Least Common Multiple of 37,6039 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 37,6039 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,6039) = 1

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

GCF(37,6039) x common factors =1 x 1 = 1

LCM(37,6039) = ( 37 × 6039 ) / 1

LCM(37,6039) = 223443 / 1

LCM(37,6039) = 223443

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FAQs on GCF of Fractions of 755/37, 784/6039

1. What is the HCF of 755,784?

The HCF of 755,784 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 755/37, 784/6039?

Answer: GCF of Numerators as per given numbers 755/37, 784/6039 is

GCF of Numerators i.e. for 755,784 is 1

LCM of denominators i.e. for 37,6039 is 223443.

Thus, GCF of Fractions is 1/223443.Finally, GCF of Fractions for 755/37, 784/6039 is 1/223443.