GCF of 5963/846, 7538/2816
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5963/846, 7538/2816 i.e 1/1191168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5963/846, 7538/2816.
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 5963/846,7538/2816?
Given fractions are 5963/846,7538/2816
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 5963/846,7538/2816, numerators are 5963,7538
Denominators are 846,2816
The GCF of 5963,7538 is 1 .
LCM of 846,2816 is 1191168.
The greatest common factor of 5963/846,7538/2816 = [GCF of 5963,7538]/[LCM of 846,2816]= 1/1191168
Therefore, the GCF of 5963/846,7538/2816 is 1/1191168.
To find the highest common factor of 5963,7538, we have to find the factors of both numbers and list the highest common factor.
The factors of 5963 are 1, 67, 89, 5963
The factors of 7538 are 1, 2, 3769, 7538
The HCF of 5963,7538 is 1.
Lets's calculate GCF of 5963,7538
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5963,7538 By Matching Biggest Common Factor Method
Now, list down the factors of 5963
:1,67,89,5963
Now, list down the factors of 7538
:1,2,3769,7538
Greatest Common Factor
We found the factors 5963,7538 . The biggest common factor number is the GCF number.
So the greatest common factor 5963,7538 is 1.
Lets's calculate LCM of 846,2816
| 2 | 846, 2816 |
| 423, 1408 |
∴ So the LCM of the given numbers is 2 x 423 x 1408 = 1191168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1191168
Therefore, the GCF of Fractions 5963/846,7538/2816 is 1/1191168
Least Common Multiple of 846,2816 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 846,2816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(846,2816) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(846,2816) x common factors =2 x 1 = 2
LCM(846,2816) = ( 846 × 2816 ) / 2
LCM(846,2816) = 2382336 / 2
LCM(846,2816) = 1191168
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FAQs on GCF of Fractions of 5963/846, 7538/2816
1. What is the HCF of 5963,7538?
The HCF of 5963,7538 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 5963/846, 7538/2816?
Answer: GCF of Numerators as per given numbers 5963/846, 7538/2816 is
GCF of Numerators i.e. for 5963,7538 is 1
LCM of denominators i.e. for 846,2816 is 1191168.
Thus, GCF of Fractions is 1/1191168.Finally, GCF of Fractions for 5963/846, 7538/2816 is 1/1191168.