GCF of 2348/63, 7082/132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2348/63, 7082/132 i.e 2/2772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2348/63, 7082/132.
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 2348/63,7082/132?
Given fractions are 2348/63,7082/132
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 2348/63,7082/132, numerators are 2348,7082
Denominators are 63,132
The GCF of 2348,7082 is 2 .
LCM of 63,132 is 2772.
The greatest common factor of 2348/63,7082/132 = [GCF of 2348,7082]/[LCM of 63,132]= 2/2772
Therefore, the GCF of 2348/63,7082/132 is 2/2772.
To find the highest common factor of 2348,7082, we have to find the factors of both numbers and list the highest common factor.
The factors of 2348 are 1, 2, 4, 587, 1174, 2348
The factors of 7082 are 1, 2, 3541, 7082
The HCF of 2348,7082 is 2.
Lets's calculate GCF of 2348,7082
| 2 | 2348, 7082 |
| 1174, 3541 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2348,7082 By Matching Biggest Common Factor Method
Now, list down the factors of 2348
:1,2,4,587,1174,2348
Now, list down the factors of 7082
:1,2,3541,7082
Greatest Common Factor
We found the factors 2348,7082 . The biggest common factor number is the GCF number.
So the greatest common factor 2348,7082 is 2.
Lets's calculate LCM of 63,132
| 3 | 63, 132 |
| 21, 44 |
∴ So the LCM of the given numbers is 3 x 21 x 44 = 2772
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2772
Therefore, the GCF of Fractions 2348/63,7082/132 is 2/2772
Least Common Multiple of 63,132 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 63,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,132) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(63,132) x common factors =3 x 1 = 3
LCM(63,132) = ( 63 × 132 ) / 3
LCM(63,132) = 8316 / 3
LCM(63,132) = 2772
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FAQs on GCF of Fractions of 2348/63, 7082/132
1. What is the HCF of 2348,7082?
The HCF of 2348,7082 is 2
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 2348/63, 7082/132?
Answer: GCF of Numerators as per given numbers 2348/63, 7082/132 is
GCF of Numerators i.e. for 2348,7082 is 2
LCM of denominators i.e. for 63,132 is 2772.
Thus, GCF of Fractions is 2/2772.Finally, GCF of Fractions for 2348/63, 7082/132 is 2/2772.