GCF of 5970/910, 9871/1502
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5970/910, 9871/1502 i.e 1/683410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5970/910, 9871/1502.
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 5970/910,9871/1502?
Given fractions are 5970/910,9871/1502
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 5970/910,9871/1502, numerators are 5970,9871
Denominators are 910,1502
The GCF of 5970,9871 is 1 .
LCM of 910,1502 is 683410.
The greatest common factor of 5970/910,9871/1502 = [GCF of 5970,9871]/[LCM of 910,1502]= 1/683410
Therefore, the GCF of 5970/910,9871/1502 is 1/683410.
To find the highest common factor of 5970,9871, we have to find the factors of both numbers and list the highest common factor.
The factors of 5970 are 1, 2, 3, 5, 6, 10, 15, 30, 199, 398, 597, 995, 1194, 1990, 2985, 5970
The factors of 9871 are 1, 9871
The HCF of 5970,9871 is 1.
Lets's calculate GCF of 5970,9871
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5970,9871 By Matching Biggest Common Factor Method
Now, list down the factors of 5970
:1,2,3,5,6,10,15,30,199,398,597,995,1194,1990,2985,5970
Now, list down the factors of 9871
:1,9871
Greatest Common Factor
We found the factors 5970,9871 . The biggest common factor number is the GCF number.
So the greatest common factor 5970,9871 is 1.
Lets's calculate LCM of 910,1502
| 2 | 910, 1502 |
| 455, 751 |
∴ So the LCM of the given numbers is 2 x 455 x 751 = 683410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/683410
Therefore, the GCF of Fractions 5970/910,9871/1502 is 1/683410
Least Common Multiple of 910,1502 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 910,1502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(910,1502) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(910,1502) x common factors =2 x 1 = 2
LCM(910,1502) = ( 910 × 1502 ) / 2
LCM(910,1502) = 1366820 / 2
LCM(910,1502) = 683410
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FAQs on GCF of Fractions of 5970/910, 9871/1502
1. What is the HCF of 5970,9871?
The HCF of 5970,9871 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 5970/910, 9871/1502?
Answer: GCF of Numerators as per given numbers 5970/910, 9871/1502 is
GCF of Numerators i.e. for 5970,9871 is 1
LCM of denominators i.e. for 910,1502 is 683410.
Thus, GCF of Fractions is 1/683410.Finally, GCF of Fractions for 5970/910, 9871/1502 is 1/683410.