GCF of 9759/749, 5073/6132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9759/749, 5073/6132 i.e 3/656124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9759/749, 5073/6132.
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 9759/749,5073/6132?
Given fractions are 9759/749,5073/6132
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 9759/749,5073/6132, numerators are 9759,5073
Denominators are 749,6132
The GCF of 9759,5073 is 3 .
LCM of 749,6132 is 656124.
The greatest common factor of 9759/749,5073/6132 = [GCF of 9759,5073]/[LCM of 749,6132]= 3/656124
Therefore, the GCF of 9759/749,5073/6132 is 3/656124.
To find the highest common factor of 9759,5073, we have to find the factors of both numbers and list the highest common factor.
The factors of 9759 are 1, 3, 3253, 9759
The factors of 5073 are 1, 3, 19, 57, 89, 267, 1691, 5073
The HCF of 9759,5073 is 3.
Lets's calculate GCF of 9759,5073
| 3 | 9759, 5073 |
| 3253, 1691 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9759,5073 By Matching Biggest Common Factor Method
Now, list down the factors of 9759
:1,3,3253,9759
Now, list down the factors of 5073
:1,3,19,57,89,267,1691,5073
Greatest Common Factor
We found the factors 9759,5073 . The biggest common factor number is the GCF number.
So the greatest common factor 9759,5073 is 3.
Lets's calculate LCM of 749,6132
| 7 | 749, 6132 |
| 107, 876 |
∴ So the LCM of the given numbers is 7 x 107 x 876 = 656124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/656124
Therefore, the GCF of Fractions 9759/749,5073/6132 is 3/656124
Least Common Multiple of 749,6132 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 749,6132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,6132) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(749,6132) x common factors =7 x 1 = 7
LCM(749,6132) = ( 749 × 6132 ) / 7
LCM(749,6132) = 4592868 / 7
LCM(749,6132) = 656124
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FAQs on GCF of Fractions of 9759/749, 5073/6132
1. What is the HCF of 9759,5073?
The HCF of 9759,5073 is 3
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 9759/749, 5073/6132?
Answer: GCF of Numerators as per given numbers 9759/749, 5073/6132 is
GCF of Numerators i.e. for 9759,5073 is 3
LCM of denominators i.e. for 749,6132 is 656124.
Thus, GCF of Fractions is 3/656124.Finally, GCF of Fractions for 9759/749, 5073/6132 is 3/656124.