GCF of 985/721, 3415/714
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 985/721, 3415/714 i.e 5/73542 easily. The following is the detailed procedure to determine the greatest common factor of fractions 985/721, 3415/714.
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 985/721,3415/714?
Given fractions are 985/721,3415/714
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 985/721,3415/714, numerators are 985,3415
Denominators are 721,714
The GCF of 985,3415 is 5 .
LCM of 721,714 is 73542.
The greatest common factor of 985/721,3415/714 = [GCF of 985,3415]/[LCM of 721,714]= 5/73542
Therefore, the GCF of 985/721,3415/714 is 5/73542.
To find the highest common factor of 985,3415, we have to find the factors of both numbers and list the highest common factor.
The factors of 985 are 1, 5, 197, 985
The factors of 3415 are 1, 5, 683, 3415
The HCF of 985,3415 is 5.
Lets's calculate GCF of 985,3415
| 5 | 985, 3415 |
| 197, 683 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 985,3415 By Matching Biggest Common Factor Method
Now, list down the factors of 985
:1,5,197,985
Now, list down the factors of 3415
:1,5,683,3415
Greatest Common Factor
We found the factors 985,3415 . The biggest common factor number is the GCF number.
So the greatest common factor 985,3415 is 5.
Lets's calculate LCM of 721,714
| 7 | 721, 714 |
| 103, 102 |
∴ So the LCM of the given numbers is 7 x 103 x 102 = 73542
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/73542
Therefore, the GCF of Fractions 985/721,3415/714 is 5/73542
Least Common Multiple of 721,714 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 721,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(721,714) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(721,714) x common factors =7 x 1 = 7
LCM(721,714) = ( 721 × 714 ) / 7
LCM(721,714) = 514794 / 7
LCM(721,714) = 73542
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FAQs on GCF of Fractions of 985/721, 3415/714
1. What is the HCF of 985,3415?
The HCF of 985,3415 is 5
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 985/721, 3415/714?
Answer: GCF of Numerators as per given numbers 985/721, 3415/714 is
GCF of Numerators i.e. for 985,3415 is 5
LCM of denominators i.e. for 721,714 is 73542.
Thus, GCF of Fractions is 5/73542.Finally, GCF of Fractions for 985/721, 3415/714 is 5/73542.