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GCF of 7873/301, 8267/5802

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 7873/301, 8267/5802 i.e 1/1746402 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7873/301, 8267/5802.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 7873/301,8267/5802?

Given fractions are 7873/301,8267/5802

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 7873/301,8267/5802, numerators are 7873,8267

Denominators are 301,5802

The GCF of 7873,8267 is 1 .

LCM of 301,5802 is 1746402.

The greatest common factor of 7873/301,8267/5802 = [GCF of 7873,8267]/[LCM of 301,5802]= 1/1746402

Therefore, the GCF of 7873/301,8267/5802 is 1/1746402.

Greatest Common Factor of 7873,8267

To find the highest common factor of 7873,8267, we have to find the factors of both numbers and list the highest common factor.

The factors of 7873 are 1, 7873

The factors of 8267 are 1, 7, 1181, 8267

The HCF of 7873,8267 is 1.

Lets's calculate GCF of 7873,8267

Greatest Common Factor (GCF) of 7873,8267 By Common Division

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

Greatest Common Factor of 7873,8267 By Matching Biggest Common Factor Method

Greatest Common Factor of 7873,8267 By Matching Biggest Common Factor Method

Now, list down the factors of 7873

:

1,7873

Now, list down the factors of 8267

:

1,7,1181,8267

Greatest Common Factor

We found the factors 7873,8267 . The biggest common factor number is the GCF number.
So the greatest common factor 7873,8267 is 1.

Lets's calculate LCM of 301,5802

Lowest Common Multiple of 301,5802 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1746402

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1746402

Therefore, the GCF of Fractions 7873/301,8267/5802 is 1/1746402

Least Common Multiple of 301,5802 with GCF Formula

Least Common Multiple of 301,5802 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 301,5802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(301,5802) = 1

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

GCF(301,5802) x common factors =1 x 1 = 1

LCM(301,5802) = ( 301 × 5802 ) / 1

LCM(301,5802) = 1746402 / 1

LCM(301,5802) = 1746402


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FAQs on GCF of Fractions of 7873/301, 8267/5802

1. What is the HCF of 7873,8267?

The HCF of 7873,8267 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 7873/301, 8267/5802?

Answer: GCF of Numerators as per given numbers 7873/301, 8267/5802 is

GCF of Numerators i.e. for 7873,8267 is 1

LCM of denominators i.e. for 301,5802 is 1746402.

Thus, GCF of Fractions is 1/1746402.Finally, GCF of Fractions for 7873/301, 8267/5802 is 1/1746402.