GCF of 7810/871, 1972/4854
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7810/871, 1972/4854 i.e 2/4227834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7810/871, 1972/4854.
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 7810/871,1972/4854?
Given fractions are 7810/871,1972/4854
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 7810/871,1972/4854, numerators are 7810,1972
Denominators are 871,4854
The GCF of 7810,1972 is 2 .
LCM of 871,4854 is 4227834.
The greatest common factor of 7810/871,1972/4854 = [GCF of 7810,1972]/[LCM of 871,4854]= 2/4227834
Therefore, the GCF of 7810/871,1972/4854 is 2/4227834.
To find the highest common factor of 7810,1972, we have to find the factors of both numbers and list the highest common factor.
The factors of 7810 are 1, 2, 5, 10, 11, 22, 55, 71, 110, 142, 355, 710, 781, 1562, 3905, 7810
The factors of 1972 are 1, 2, 4, 17, 29, 34, 58, 68, 116, 493, 986, 1972
The HCF of 7810,1972 is 2.
Lets's calculate GCF of 7810,1972
| 2 | 7810, 1972 |
| 3905, 986 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7810,1972 By Matching Biggest Common Factor Method
Now, list down the factors of 7810
:1,2,5,10,11,22,55,71,110,142,355,710,781,1562,3905,7810
Now, list down the factors of 1972
:1,2,4,17,29,34,58,68,116,493,986,1972
Greatest Common Factor
We found the factors 7810,1972 . The biggest common factor number is the GCF number.
So the greatest common factor 7810,1972 is 2.
Lets's calculate LCM of 871,4854
Given numbers has no common factors except 1. So, there LCM is their product i.e 4227834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4227834
Therefore, the GCF of Fractions 7810/871,1972/4854 is 2/4227834
Least Common Multiple of 871,4854 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 871,4854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(871,4854) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(871,4854) x common factors =1 x 1 = 1
LCM(871,4854) = ( 871 × 4854 ) / 1
LCM(871,4854) = 4227834 / 1
LCM(871,4854) = 4227834
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7810/871, 1972/4854
1. What is the HCF of 7810,1972?
The HCF of 7810,1972 is 2
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 7810/871, 1972/4854?
Answer: GCF of Numerators as per given numbers 7810/871, 1972/4854 is
GCF of Numerators i.e. for 7810,1972 is 2
LCM of denominators i.e. for 871,4854 is 4227834.
Thus, GCF of Fractions is 2/4227834.Finally, GCF of Fractions for 7810/871, 1972/4854 is 2/4227834.