How to Find GCF of 7417/700, 7594/996?

GCF of 7417/700, 7594/996

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 7417/700, 7594/996 i.e 1/174300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7417/700, 7594/996.

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 7417/700,7594/996?

Given fractions are 7417/700,7594/996

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 7417/700,7594/996, numerators are 7417,7594

Denominators are 700,996

The GCF of 7417,7594 is 1 .

LCM of 700,996 is 174300.

The greatest common factor of 7417/700,7594/996 = [GCF of 7417,7594]/[LCM of 700,996]= 1/174300

Therefore, the GCF of 7417/700,7594/996 is 1/174300.

Greatest Common Factor of 7417,7594

To find the highest common factor of 7417,7594, we have to find the factors of both numbers and list the highest common factor.

The factors of 7417 are 1, 7417

The factors of 7594 are 1, 2, 3797, 7594

The HCF of 7417,7594 is 1.

Lets's calculate GCF of 7417,7594

Greatest Common Factor (GCF) of 7417,7594 By Common Division

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

Greatest Common Factor of 7417,7594 By Matching Biggest Common Factor Method

Now, list down the factors of 7417

1,7417

Now, list down the factors of 7594

1,2,3797,7594

Greatest Common Factor

We found the factors 7417,7594 . The biggest common factor number is the GCF number.
So the greatest common factor 7417,7594 is 1.

Lets's calculate LCM of 700,996

Lowest Common Multiple of 700,996 using Common Division

2	700, 996
2	350, 498
	175, 249

∴ So the LCM of the given numbers is 2 x 2 x 175 x 249 = 174300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174300

Therefore, the GCF of Fractions 7417/700,7594/996 is 1/174300

Least Common Multiple of 700,996 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 700,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,996) = 4

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

GCF(700,996) x common factors =4 x 1 = 4

LCM(700,996) = ( 700 × 996 ) / 4

LCM(700,996) = 697200 / 4

LCM(700,996) = 174300

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FAQs on GCF of Fractions of 7417/700, 7594/996

1. What is the HCF of 7417,7594?

The HCF of 7417,7594 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 7417/700, 7594/996?

Answer: GCF of Numerators as per given numbers 7417/700, 7594/996 is

GCF of Numerators i.e. for 7417,7594 is 1

LCM of denominators i.e. for 700,996 is 174300.

Thus, GCF of Fractions is 1/174300.Finally, GCF of Fractions for 7417/700, 7594/996 is 1/174300.