How to Find GCF of 7235/444, 1019/8969?

GCF of 7235/444, 1019/8969

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 7235/444, 1019/8969 i.e 1/3982236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7235/444, 1019/8969.

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 7235/444,1019/8969?

Given fractions are 7235/444,1019/8969

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 7235/444,1019/8969, numerators are 7235,1019

Denominators are 444,8969

The GCF of 7235,1019 is 1 .

LCM of 444,8969 is 3982236.

The greatest common factor of 7235/444,1019/8969 = [GCF of 7235,1019]/[LCM of 444,8969]= 1/3982236

Therefore, the GCF of 7235/444,1019/8969 is 1/3982236.

Greatest Common Factor of 7235,1019

To find the highest common factor of 7235,1019, we have to find the factors of both numbers and list the highest common factor.

The factors of 7235 are 1, 5, 1447, 7235

The factors of 1019 are 1, 1019

The HCF of 7235,1019 is 1.

Lets's calculate GCF of 7235,1019

Greatest Common Factor (GCF) of 7235,1019 By Common Division

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

Greatest Common Factor of 7235,1019 By Matching Biggest Common Factor Method

Now, list down the factors of 7235

1,5,1447,7235

Now, list down the factors of 1019

1,1019

Greatest Common Factor

We found the factors 7235,1019 . The biggest common factor number is the GCF number.
So the greatest common factor 7235,1019 is 1.

Lets's calculate LCM of 444,8969

Lowest Common Multiple of 444,8969 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3982236

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3982236

Therefore, the GCF of Fractions 7235/444,1019/8969 is 1/3982236

Least Common Multiple of 444,8969 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 444,8969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(444,8969) = 1

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

GCF(444,8969) x common factors =1 x 1 = 1

LCM(444,8969) = ( 444 × 8969 ) / 1

LCM(444,8969) = 3982236 / 1

LCM(444,8969) = 3982236

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FAQs on GCF of Fractions of 7235/444, 1019/8969

1. What is the HCF of 7235,1019?

The HCF of 7235,1019 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 7235/444, 1019/8969?

Answer: GCF of Numerators as per given numbers 7235/444, 1019/8969 is

GCF of Numerators i.e. for 7235,1019 is 1

LCM of denominators i.e. for 444,8969 is 3982236.

Thus, GCF of Fractions is 1/3982236.Finally, GCF of Fractions for 7235/444, 1019/8969 is 1/3982236.