GCF of 2815/497, 3954/710
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2815/497, 3954/710 i.e 1/4970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2815/497, 3954/710.
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 2815/497,3954/710?
Given fractions are 2815/497,3954/710
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 2815/497,3954/710, numerators are 2815,3954
Denominators are 497,710
The GCF of 2815,3954 is 1 .
LCM of 497,710 is 4970.
The greatest common factor of 2815/497,3954/710 = [GCF of 2815,3954]/[LCM of 497,710]= 1/4970
Therefore, the GCF of 2815/497,3954/710 is 1/4970.
To find the highest common factor of 2815,3954, we have to find the factors of both numbers and list the highest common factor.
The factors of 2815 are 1, 5, 563, 2815
The factors of 3954 are 1, 2, 3, 6, 659, 1318, 1977, 3954
The HCF of 2815,3954 is 1.
Lets's calculate GCF of 2815,3954
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2815,3954 By Matching Biggest Common Factor Method
Now, list down the factors of 2815
:1,5,563,2815
Now, list down the factors of 3954
:1,2,3,6,659,1318,1977,3954
Greatest Common Factor
We found the factors 2815,3954 . The biggest common factor number is the GCF number.
So the greatest common factor 2815,3954 is 1.
Lets's calculate LCM of 497,710
| 71 | 497, 710 |
| 7, 10 |
∴ So the LCM of the given numbers is 71 x 7 x 10 = 4970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4970
Therefore, the GCF of Fractions 2815/497,3954/710 is 1/4970
Least Common Multiple of 497,710 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 497,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(497,710) = 71
common factors(in case of two or more numbers have common factors) = 1
GCF(497,710) x common factors =71 x 1 = 71
LCM(497,710) = ( 497 × 710 ) / 71
LCM(497,710) = 352870 / 71
LCM(497,710) = 4970
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FAQs on GCF of Fractions of 2815/497, 3954/710
1. What is the HCF of 2815,3954?
The HCF of 2815,3954 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 2815/497, 3954/710?
Answer: GCF of Numerators as per given numbers 2815/497, 3954/710 is
GCF of Numerators i.e. for 2815,3954 is 1
LCM of denominators i.e. for 497,710 is 4970.
Thus, GCF of Fractions is 1/4970.Finally, GCF of Fractions for 2815/497, 3954/710 is 1/4970.