How to Find GCF of 7679/414, 8513/1225?

GCF of 7679/414, 8513/1225

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 7679/414, 8513/1225 i.e 1/507150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7679/414, 8513/1225.

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 7679/414,8513/1225?

Given fractions are 7679/414,8513/1225

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 7679/414,8513/1225, numerators are 7679,8513

Denominators are 414,1225

The GCF of 7679,8513 is 1 .

LCM of 414,1225 is 507150.

The greatest common factor of 7679/414,8513/1225 = [GCF of 7679,8513]/[LCM of 414,1225]= 1/507150

Therefore, the GCF of 7679/414,8513/1225 is 1/507150.

Greatest Common Factor of 7679,8513

To find the highest common factor of 7679,8513, we have to find the factors of both numbers and list the highest common factor.

The factors of 7679 are 1, 7, 1097, 7679

The factors of 8513 are 1, 8513

The HCF of 7679,8513 is 1.

Lets's calculate GCF of 7679,8513

Greatest Common Factor (GCF) of 7679,8513 By Common Division

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

Greatest Common Factor of 7679,8513 By Matching Biggest Common Factor Method

Now, list down the factors of 7679

1,7,1097,7679

Now, list down the factors of 8513

1,8513

Greatest Common Factor

We found the factors 7679,8513 . The biggest common factor number is the GCF number.
So the greatest common factor 7679,8513 is 1.

Lets's calculate LCM of 414,1225

Lowest Common Multiple of 414,1225 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 507150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/507150

Therefore, the GCF of Fractions 7679/414,8513/1225 is 1/507150

Least Common Multiple of 414,1225 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 414,1225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,1225) = 1

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

GCF(414,1225) x common factors =1 x 1 = 1

LCM(414,1225) = ( 414 × 1225 ) / 1

LCM(414,1225) = 507150 / 1

LCM(414,1225) = 507150

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FAQs on GCF of Fractions of 7679/414, 8513/1225

1. What is the HCF of 7679,8513?

The HCF of 7679,8513 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 7679/414, 8513/1225?

Answer: GCF of Numerators as per given numbers 7679/414, 8513/1225 is

GCF of Numerators i.e. for 7679,8513 is 1

LCM of denominators i.e. for 414,1225 is 507150.

Thus, GCF of Fractions is 1/507150.Finally, GCF of Fractions for 7679/414, 8513/1225 is 1/507150.