How to Find GCF of 973/783, 834/194?

GCF of 973/783, 834/194

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 973/783, 834/194 i.e 139/151902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 973/783, 834/194.

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 973/783,834/194?

Given fractions are 973/783,834/194

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 973/783,834/194, numerators are 973,834

Denominators are 783,194

The GCF of 973,834 is 139 .

LCM of 783,194 is 151902.

The greatest common factor of 973/783,834/194 = [GCF of 973,834]/[LCM of 783,194]= 139/151902

Therefore, the GCF of 973/783,834/194 is 139/151902.

Greatest Common Factor of 973,834

To find the highest common factor of 973,834, we have to find the factors of both numbers and list the highest common factor.

The factors of 973 are 1, 7, 139, 973

The factors of 834 are 1, 2, 3, 6, 139, 278, 417, 834

The HCF of 973,834 is 139.

Lets's calculate GCF of 973,834

Greatest Common Factor (GCF) of 973,834 By Common Division

139	973, 834
	7, 6

∴ So the GCF of the given numbers is 139 = 139

Greatest Common Factor of 973,834 By Matching Biggest Common Factor Method

Now, list down the factors of 973

1,7,139,973

Now, list down the factors of 834

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 973,834 . The biggest common factor number is the GCF number.
So the greatest common factor 973,834 is 139.

Lets's calculate LCM of 783,194

Lowest Common Multiple of 783,194 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 151902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 139/151902

Therefore, the GCF of Fractions 973/783,834/194 is 139/151902

Least Common Multiple of 783,194 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 783,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(783,194) = 1

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

GCF(783,194) x common factors =1 x 1 = 1

LCM(783,194) = ( 783 × 194 ) / 1

LCM(783,194) = 151902 / 1

LCM(783,194) = 151902

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FAQs on GCF of Fractions of 973/783, 834/194

1. What is the HCF of 973,834?

The HCF of 973,834 is 139

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 973/783, 834/194?

Answer: GCF of Numerators as per given numbers 973/783, 834/194 is

GCF of Numerators i.e. for 973,834 is 139

LCM of denominators i.e. for 783,194 is 151902.

Thus, GCF of Fractions is 139/151902.Finally, GCF of Fractions for 973/783, 834/194 is 139/151902.