How to Find GCF of 4816/175, 9319/9284?

GCF of 4816/175, 9319/9284

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 4816/175, 9319/9284 i.e 1/1624700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4816/175, 9319/9284.

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 4816/175,9319/9284?

Given fractions are 4816/175,9319/9284

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 4816/175,9319/9284, numerators are 4816,9319

Denominators are 175,9284

The GCF of 4816,9319 is 1 .

LCM of 175,9284 is 1624700.

The greatest common factor of 4816/175,9319/9284 = [GCF of 4816,9319]/[LCM of 175,9284]= 1/1624700

Therefore, the GCF of 4816/175,9319/9284 is 1/1624700.

Greatest Common Factor of 4816,9319

To find the highest common factor of 4816,9319, we have to find the factors of both numbers and list the highest common factor.

The factors of 4816 are 1, 2, 4, 7, 8, 14, 16, 28, 43, 56, 86, 112, 172, 301, 344, 602, 688, 1204, 2408, 4816

The factors of 9319 are 1, 9319

The HCF of 4816,9319 is 1.

Lets's calculate GCF of 4816,9319

Greatest Common Factor (GCF) of 4816,9319 By Common Division

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

Greatest Common Factor of 4816,9319 By Matching Biggest Common Factor Method

Now, list down the factors of 4816

1,2,4,7,8,14,16,28,43,56,86,112,172,301,344,602,688,1204,2408,4816

Now, list down the factors of 9319

1,9319

Greatest Common Factor

We found the factors 4816,9319 . The biggest common factor number is the GCF number.
So the greatest common factor 4816,9319 is 1.

Lets's calculate LCM of 175,9284

Lowest Common Multiple of 175,9284 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1624700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1624700

Therefore, the GCF of Fractions 4816/175,9319/9284 is 1/1624700

Least Common Multiple of 175,9284 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 175,9284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,9284) = 1

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

GCF(175,9284) x common factors =1 x 1 = 1

LCM(175,9284) = ( 175 × 9284 ) / 1

LCM(175,9284) = 1624700 / 1

LCM(175,9284) = 1624700

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FAQs on GCF of Fractions of 4816/175, 9319/9284

1. What is the HCF of 4816,9319?

The HCF of 4816,9319 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 4816/175, 9319/9284?

Answer: GCF of Numerators as per given numbers 4816/175, 9319/9284 is

GCF of Numerators i.e. for 4816,9319 is 1

LCM of denominators i.e. for 175,9284 is 1624700.

Thus, GCF of Fractions is 1/1624700.Finally, GCF of Fractions for 4816/175, 9319/9284 is 1/1624700.