GCF of 2776/374, 8315/9302
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2776/374, 8315/9302 i.e 1/1739474 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2776/374, 8315/9302.
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 2776/374,8315/9302?
Given fractions are 2776/374,8315/9302
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 2776/374,8315/9302, numerators are 2776,8315
Denominators are 374,9302
The GCF of 2776,8315 is 1 .
LCM of 374,9302 is 1739474.
The greatest common factor of 2776/374,8315/9302 = [GCF of 2776,8315]/[LCM of 374,9302]= 1/1739474
Therefore, the GCF of 2776/374,8315/9302 is 1/1739474.
To find the highest common factor of 2776,8315, we have to find the factors of both numbers and list the highest common factor.
The factors of 2776 are 1, 2, 4, 8, 347, 694, 1388, 2776
The factors of 8315 are 1, 5, 1663, 8315
The HCF of 2776,8315 is 1.
Lets's calculate GCF of 2776,8315
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2776,8315 By Matching Biggest Common Factor Method
Now, list down the factors of 2776
:1,2,4,8,347,694,1388,2776
Now, list down the factors of 8315
:1,5,1663,8315
Greatest Common Factor
We found the factors 2776,8315 . The biggest common factor number is the GCF number.
So the greatest common factor 2776,8315 is 1.
Lets's calculate LCM of 374,9302
| 2 | 374, 9302 |
| 187, 4651 |
∴ So the LCM of the given numbers is 2 x 187 x 4651 = 1739474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1739474
Therefore, the GCF of Fractions 2776/374,8315/9302 is 1/1739474
Least Common Multiple of 374,9302 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 374,9302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(374,9302) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(374,9302) x common factors =2 x 1 = 2
LCM(374,9302) = ( 374 × 9302 ) / 2
LCM(374,9302) = 3478948 / 2
LCM(374,9302) = 1739474
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FAQs on GCF of Fractions of 2776/374, 8315/9302
1. What is the HCF of 2776,8315?
The HCF of 2776,8315 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 2776/374, 8315/9302?
Answer: GCF of Numerators as per given numbers 2776/374, 8315/9302 is
GCF of Numerators i.e. for 2776,8315 is 1
LCM of denominators i.e. for 374,9302 is 1739474.
Thus, GCF of Fractions is 1/1739474.Finally, GCF of Fractions for 2776/374, 8315/9302 is 1/1739474.