GCF of 2158/130, 2421/9734
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2158/130, 2421/9734 i.e 1/632710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2158/130, 2421/9734.
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 2158/130,2421/9734?
Given fractions are 2158/130,2421/9734
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 2158/130,2421/9734, numerators are 2158,2421
Denominators are 130,9734
The GCF of 2158,2421 is 1 .
LCM of 130,9734 is 632710.
The greatest common factor of 2158/130,2421/9734 = [GCF of 2158,2421]/[LCM of 130,9734]= 1/632710
Therefore, the GCF of 2158/130,2421/9734 is 1/632710.
To find the highest common factor of 2158,2421, we have to find the factors of both numbers and list the highest common factor.
The factors of 2158 are 1, 2, 13, 26, 83, 166, 1079, 2158
The factors of 2421 are 1, 3, 9, 269, 807, 2421
The HCF of 2158,2421 is 1.
Lets's calculate GCF of 2158,2421
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2158,2421 By Matching Biggest Common Factor Method
Now, list down the factors of 2158
:1,2,13,26,83,166,1079,2158
Now, list down the factors of 2421
:1,3,9,269,807,2421
Greatest Common Factor
We found the factors 2158,2421 . The biggest common factor number is the GCF number.
So the greatest common factor 2158,2421 is 1.
Lets's calculate LCM of 130,9734
| 2 | 130, 9734 |
| 65, 4867 |
∴ So the LCM of the given numbers is 2 x 65 x 4867 = 632710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/632710
Therefore, the GCF of Fractions 2158/130,2421/9734 is 1/632710
Least Common Multiple of 130,9734 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 130,9734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,9734) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(130,9734) x common factors =2 x 1 = 2
LCM(130,9734) = ( 130 × 9734 ) / 2
LCM(130,9734) = 1265420 / 2
LCM(130,9734) = 632710
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FAQs on GCF of Fractions of 2158/130, 2421/9734
1. What is the HCF of 2158,2421?
The HCF of 2158,2421 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 2158/130, 2421/9734?
Answer: GCF of Numerators as per given numbers 2158/130, 2421/9734 is
GCF of Numerators i.e. for 2158,2421 is 1
LCM of denominators i.e. for 130,9734 is 632710.
Thus, GCF of Fractions is 1/632710.Finally, GCF of Fractions for 2158/130, 2421/9734 is 1/632710.