GCF of 7871/754, 5641/2816
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7871/754, 5641/2816 i.e 1/1061632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7871/754, 5641/2816.
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 7871/754,5641/2816?
Given fractions are 7871/754,5641/2816
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 7871/754,5641/2816, numerators are 7871,5641
Denominators are 754,2816
The GCF of 7871,5641 is 1 .
LCM of 754,2816 is 1061632.
The greatest common factor of 7871/754,5641/2816 = [GCF of 7871,5641]/[LCM of 754,2816]= 1/1061632
Therefore, the GCF of 7871/754,5641/2816 is 1/1061632.
To find the highest common factor of 7871,5641, we have to find the factors of both numbers and list the highest common factor.
The factors of 7871 are 1, 17, 463, 7871
The factors of 5641 are 1, 5641
The HCF of 7871,5641 is 1.
Lets's calculate GCF of 7871,5641
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7871,5641 By Matching Biggest Common Factor Method
Now, list down the factors of 7871
:1,17,463,7871
Now, list down the factors of 5641
:1,5641
Greatest Common Factor
We found the factors 7871,5641 . The biggest common factor number is the GCF number.
So the greatest common factor 7871,5641 is 1.
Lets's calculate LCM of 754,2816
| 2 | 754, 2816 |
| 377, 1408 |
∴ So the LCM of the given numbers is 2 x 377 x 1408 = 1061632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1061632
Therefore, the GCF of Fractions 7871/754,5641/2816 is 1/1061632
Least Common Multiple of 754,2816 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 754,2816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(754,2816) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(754,2816) x common factors =2 x 1 = 2
LCM(754,2816) = ( 754 × 2816 ) / 2
LCM(754,2816) = 2123264 / 2
LCM(754,2816) = 1061632
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FAQs on GCF of Fractions of 7871/754, 5641/2816
1. What is the HCF of 7871,5641?
The HCF of 7871,5641 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 7871/754, 5641/2816?
Answer: GCF of Numerators as per given numbers 7871/754, 5641/2816 is
GCF of Numerators i.e. for 7871,5641 is 1
LCM of denominators i.e. for 754,2816 is 1061632.
Thus, GCF of Fractions is 1/1061632.Finally, GCF of Fractions for 7871/754, 5641/2816 is 1/1061632.