How to Find GCF of 8304/429, 8021/7615?

GCF of 8304/429, 8021/7615

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 8304/429, 8021/7615 i.e 1/3266835 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8304/429, 8021/7615.

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 8304/429,8021/7615?

Given fractions are 8304/429,8021/7615

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 8304/429,8021/7615, numerators are 8304,8021

Denominators are 429,7615

The GCF of 8304,8021 is 1 .

LCM of 429,7615 is 3266835.

The greatest common factor of 8304/429,8021/7615 = [GCF of 8304,8021]/[LCM of 429,7615]= 1/3266835

Therefore, the GCF of 8304/429,8021/7615 is 1/3266835.

Greatest Common Factor of 8304,8021

To find the highest common factor of 8304,8021, we have to find the factors of both numbers and list the highest common factor.

The factors of 8304 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 173, 346, 519, 692, 1038, 1384, 2076, 2768, 4152, 8304

The factors of 8021 are 1, 13, 617, 8021

The HCF of 8304,8021 is 1.

Lets's calculate GCF of 8304,8021

Greatest Common Factor (GCF) of 8304,8021 By Common Division

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

Greatest Common Factor of 8304,8021 By Matching Biggest Common Factor Method

Now, list down the factors of 8304

1,2,3,4,6,8,12,16,24,48,173,346,519,692,1038,1384,2076,2768,4152,8304

Now, list down the factors of 8021

1,13,617,8021

Greatest Common Factor

We found the factors 8304,8021 . The biggest common factor number is the GCF number.
So the greatest common factor 8304,8021 is 1.

Lets's calculate LCM of 429,7615

Lowest Common Multiple of 429,7615 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3266835

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3266835

Therefore, the GCF of Fractions 8304/429,8021/7615 is 1/3266835

Least Common Multiple of 429,7615 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 429,7615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,7615) = 1

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

GCF(429,7615) x common factors =1 x 1 = 1

LCM(429,7615) = ( 429 × 7615 ) / 1

LCM(429,7615) = 3266835 / 1

LCM(429,7615) = 3266835

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FAQs on GCF of Fractions of 8304/429, 8021/7615

1. What is the HCF of 8304,8021?

The HCF of 8304,8021 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 8304/429, 8021/7615?

Answer: GCF of Numerators as per given numbers 8304/429, 8021/7615 is

GCF of Numerators i.e. for 8304,8021 is 1

LCM of denominators i.e. for 429,7615 is 3266835.

Thus, GCF of Fractions is 1/3266835.Finally, GCF of Fractions for 8304/429, 8021/7615 is 1/3266835.