GCF of 1261/170, 6258/9878
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1261/170, 6258/9878 i.e 1/839630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1261/170, 6258/9878.
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 1261/170,6258/9878?
Given fractions are 1261/170,6258/9878
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 1261/170,6258/9878, numerators are 1261,6258
Denominators are 170,9878
The GCF of 1261,6258 is 1 .
LCM of 170,9878 is 839630.
The greatest common factor of 1261/170,6258/9878 = [GCF of 1261,6258]/[LCM of 170,9878]= 1/839630
Therefore, the GCF of 1261/170,6258/9878 is 1/839630.
To find the highest common factor of 1261,6258, we have to find the factors of both numbers and list the highest common factor.
The factors of 1261 are 1, 13, 97, 1261
The factors of 6258 are 1, 2, 3, 6, 7, 14, 21, 42, 149, 298, 447, 894, 1043, 2086, 3129, 6258
The HCF of 1261,6258 is 1.
Lets's calculate GCF of 1261,6258
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1261,6258 By Matching Biggest Common Factor Method
Now, list down the factors of 1261
:1,13,97,1261
Now, list down the factors of 6258
:1,2,3,6,7,14,21,42,149,298,447,894,1043,2086,3129,6258
Greatest Common Factor
We found the factors 1261,6258 . The biggest common factor number is the GCF number.
So the greatest common factor 1261,6258 is 1.
Lets's calculate LCM of 170,9878
| 2 | 170, 9878 |
| 85, 4939 |
∴ So the LCM of the given numbers is 2 x 85 x 4939 = 839630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/839630
Therefore, the GCF of Fractions 1261/170,6258/9878 is 1/839630
Least Common Multiple of 170,9878 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 170,9878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,9878) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(170,9878) x common factors =2 x 1 = 2
LCM(170,9878) = ( 170 × 9878 ) / 2
LCM(170,9878) = 1679260 / 2
LCM(170,9878) = 839630
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FAQs on GCF of Fractions of 1261/170, 6258/9878
1. What is the HCF of 1261,6258?
The HCF of 1261,6258 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 1261/170, 6258/9878?
Answer: GCF of Numerators as per given numbers 1261/170, 6258/9878 is
GCF of Numerators i.e. for 1261,6258 is 1
LCM of denominators i.e. for 170,9878 is 839630.
Thus, GCF of Fractions is 1/839630.Finally, GCF of Fractions for 1261/170, 6258/9878 is 1/839630.