How to Find GCF of 745/499, 786/575?

GCF of 745/499, 786/575

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 745/499, 786/575 i.e 1/286925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 745/499, 786/575.

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 745/499,786/575?

Given fractions are 745/499,786/575

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 745/499,786/575, numerators are 745,786

Denominators are 499,575

The GCF of 745,786 is 1 .

LCM of 499,575 is 286925.

The greatest common factor of 745/499,786/575 = [GCF of 745,786]/[LCM of 499,575]= 1/286925

Therefore, the GCF of 745/499,786/575 is 1/286925.

Greatest Common Factor of 745,786

To find the highest common factor of 745,786, we have to find the factors of both numbers and list the highest common factor.

The factors of 745 are 1, 5, 149, 745

The factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786

The HCF of 745,786 is 1.

Lets's calculate GCF of 745,786

Greatest Common Factor (GCF) of 745,786 By Common Division

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

Greatest Common Factor of 745,786 By Matching Biggest Common Factor Method

Now, list down the factors of 745

1,5,149,745

Now, list down the factors of 786

1,2,3,6,131,262,393,786

Greatest Common Factor

We found the factors 745,786 . The biggest common factor number is the GCF number.
So the greatest common factor 745,786 is 1.

Lets's calculate LCM of 499,575

Lowest Common Multiple of 499,575 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 286925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/286925

Therefore, the GCF of Fractions 745/499,786/575 is 1/286925

Least Common Multiple of 499,575 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 499,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(499,575) = 1

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

GCF(499,575) x common factors =1 x 1 = 1

LCM(499,575) = ( 499 × 575 ) / 1

LCM(499,575) = 286925 / 1

LCM(499,575) = 286925

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FAQs on GCF of Fractions of 745/499, 786/575

1. What is the HCF of 745,786?

The HCF of 745,786 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 745/499, 786/575?

Answer: GCF of Numerators as per given numbers 745/499, 786/575 is

GCF of Numerators i.e. for 745,786 is 1

LCM of denominators i.e. for 499,575 is 286925.

Thus, GCF of Fractions is 1/286925.Finally, GCF of Fractions for 745/499, 786/575 is 1/286925.