How to Find GCF of 8350/974, 4319/1569?

GCF of 8350/974, 4319/1569

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 8350/974, 4319/1569 i.e 1/1528206 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8350/974, 4319/1569.

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 8350/974,4319/1569?

Given fractions are 8350/974,4319/1569

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 8350/974,4319/1569, numerators are 8350,4319

Denominators are 974,1569

The GCF of 8350,4319 is 1 .

LCM of 974,1569 is 1528206.

The greatest common factor of 8350/974,4319/1569 = [GCF of 8350,4319]/[LCM of 974,1569]= 1/1528206

Therefore, the GCF of 8350/974,4319/1569 is 1/1528206.

Greatest Common Factor of 8350,4319

To find the highest common factor of 8350,4319, we have to find the factors of both numbers and list the highest common factor.

The factors of 8350 are 1, 2, 5, 10, 25, 50, 167, 334, 835, 1670, 4175, 8350

The factors of 4319 are 1, 7, 617, 4319

The HCF of 8350,4319 is 1.

Lets's calculate GCF of 8350,4319

Greatest Common Factor (GCF) of 8350,4319 By Common Division

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

Greatest Common Factor of 8350,4319 By Matching Biggest Common Factor Method

Now, list down the factors of 8350

1,2,5,10,25,50,167,334,835,1670,4175,8350

Now, list down the factors of 4319

1,7,617,4319

Greatest Common Factor

We found the factors 8350,4319 . The biggest common factor number is the GCF number.
So the greatest common factor 8350,4319 is 1.

Lets's calculate LCM of 974,1569

Lowest Common Multiple of 974,1569 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1528206

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1528206

Therefore, the GCF of Fractions 8350/974,4319/1569 is 1/1528206

Least Common Multiple of 974,1569 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 974,1569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,1569) = 1

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

GCF(974,1569) x common factors =1 x 1 = 1

LCM(974,1569) = ( 974 × 1569 ) / 1

LCM(974,1569) = 1528206 / 1

LCM(974,1569) = 1528206

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8350/974, 4319/1569

1. What is the HCF of 8350,4319?

The HCF of 8350,4319 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 8350/974, 4319/1569?

Answer: GCF of Numerators as per given numbers 8350/974, 4319/1569 is

GCF of Numerators i.e. for 8350,4319 is 1

LCM of denominators i.e. for 974,1569 is 1528206.

Thus, GCF of Fractions is 1/1528206.Finally, GCF of Fractions for 8350/974, 4319/1569 is 1/1528206.