How to Find GCF of 1529/923, 7900/6758?

GCF of 1529/923, 7900/6758

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 1529/923, 7900/6758 i.e 1/6237634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1529/923, 7900/6758.

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 1529/923,7900/6758?

Given fractions are 1529/923,7900/6758

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 1529/923,7900/6758, numerators are 1529,7900

Denominators are 923,6758

The GCF of 1529,7900 is 1 .

LCM of 923,6758 is 6237634.

The greatest common factor of 1529/923,7900/6758 = [GCF of 1529,7900]/[LCM of 923,6758]= 1/6237634

Therefore, the GCF of 1529/923,7900/6758 is 1/6237634.

Greatest Common Factor of 1529,7900

To find the highest common factor of 1529,7900, we have to find the factors of both numbers and list the highest common factor.

The factors of 1529 are 1, 11, 139, 1529

The factors of 7900 are 1, 2, 4, 5, 10, 20, 25, 50, 79, 100, 158, 316, 395, 790, 1580, 1975, 3950, 7900

The HCF of 1529,7900 is 1.

Lets's calculate GCF of 1529,7900

Greatest Common Factor (GCF) of 1529,7900 By Common Division

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

Greatest Common Factor of 1529,7900 By Matching Biggest Common Factor Method

Now, list down the factors of 1529

1,11,139,1529

Now, list down the factors of 7900

1,2,4,5,10,20,25,50,79,100,158,316,395,790,1580,1975,3950,7900

Greatest Common Factor

We found the factors 1529,7900 . The biggest common factor number is the GCF number.
So the greatest common factor 1529,7900 is 1.

Lets's calculate LCM of 923,6758

Lowest Common Multiple of 923,6758 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6237634

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6237634

Therefore, the GCF of Fractions 1529/923,7900/6758 is 1/6237634

Least Common Multiple of 923,6758 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 923,6758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,6758) = 1

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

GCF(923,6758) x common factors =1 x 1 = 1

LCM(923,6758) = ( 923 × 6758 ) / 1

LCM(923,6758) = 6237634 / 1

LCM(923,6758) = 6237634

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1529/923, 7900/6758

1. What is the HCF of 1529,7900?

The HCF of 1529,7900 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 1529/923, 7900/6758?

Answer: GCF of Numerators as per given numbers 1529/923, 7900/6758 is

GCF of Numerators i.e. for 1529,7900 is 1

LCM of denominators i.e. for 923,6758 is 6237634.

Thus, GCF of Fractions is 1/6237634.Finally, GCF of Fractions for 1529/923, 7900/6758 is 1/6237634.