How to Find GCF of 152/934, 783/963?

GCF of 152/934, 783/963

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 152/934, 783/963 i.e 1/899442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 152/934, 783/963.

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 152/934,783/963?

Given fractions are 152/934,783/963

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 152/934,783/963, numerators are 152,783

Denominators are 934,963

The GCF of 152,783 is 1 .

LCM of 934,963 is 899442.

The greatest common factor of 152/934,783/963 = [GCF of 152,783]/[LCM of 934,963]= 1/899442

Therefore, the GCF of 152/934,783/963 is 1/899442.

Greatest Common Factor of 152,783

To find the highest common factor of 152,783, we have to find the factors of both numbers and list the highest common factor.

The factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152

The factors of 783 are 1, 3, 9, 27, 29, 87, 261, 783

The HCF of 152,783 is 1.

Lets's calculate GCF of 152,783

Greatest Common Factor (GCF) of 152,783 By Common Division

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

Greatest Common Factor of 152,783 By Matching Biggest Common Factor Method

Now, list down the factors of 152

1,2,4,8,19,38,76,152

Now, list down the factors of 783

1,3,9,27,29,87,261,783

Greatest Common Factor

We found the factors 152,783 . The biggest common factor number is the GCF number.
So the greatest common factor 152,783 is 1.

Lets's calculate LCM of 934,963

Lowest Common Multiple of 934,963 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 899442

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/899442

Therefore, the GCF of Fractions 152/934,783/963 is 1/899442

Least Common Multiple of 934,963 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 934,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(934,963) = 1

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

GCF(934,963) x common factors =1 x 1 = 1

LCM(934,963) = ( 934 × 963 ) / 1

LCM(934,963) = 899442 / 1

LCM(934,963) = 899442

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 152/934, 783/963

1. What is the HCF of 152,783?

The HCF of 152,783 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 152/934, 783/963?

Answer: GCF of Numerators as per given numbers 152/934, 783/963 is

GCF of Numerators i.e. for 152,783 is 1

LCM of denominators i.e. for 934,963 is 899442.

Thus, GCF of Fractions is 1/899442.Finally, GCF of Fractions for 152/934, 783/963 is 1/899442.