GCF of 2353/905, 1976/7810
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2353/905, 1976/7810 i.e 13/1413610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2353/905, 1976/7810.
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 2353/905,1976/7810?
Given fractions are 2353/905,1976/7810
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 2353/905,1976/7810, numerators are 2353,1976
Denominators are 905,7810
The GCF of 2353,1976 is 13 .
LCM of 905,7810 is 1413610.
The greatest common factor of 2353/905,1976/7810 = [GCF of 2353,1976]/[LCM of 905,7810]= 13/1413610
Therefore, the GCF of 2353/905,1976/7810 is 13/1413610.
To find the highest common factor of 2353,1976, we have to find the factors of both numbers and list the highest common factor.
The factors of 2353 are 1, 13, 181, 2353
The factors of 1976 are 1, 2, 4, 8, 13, 19, 26, 38, 52, 76, 104, 152, 247, 494, 988, 1976
The HCF of 2353,1976 is 13.
Lets's calculate GCF of 2353,1976
| 13 | 2353, 1976 |
| 181, 152 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 2353,1976 By Matching Biggest Common Factor Method
Now, list down the factors of 2353
:1,13,181,2353
Now, list down the factors of 1976
:1,2,4,8,13,19,26,38,52,76,104,152,247,494,988,1976
Greatest Common Factor
We found the factors 2353,1976 . The biggest common factor number is the GCF number.
So the greatest common factor 2353,1976 is 13.
Lets's calculate LCM of 905,7810
| 5 | 905, 7810 |
| 181, 1562 |
∴ So the LCM of the given numbers is 5 x 181 x 1562 = 1413610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1413610
Therefore, the GCF of Fractions 2353/905,1976/7810 is 13/1413610
Least Common Multiple of 905,7810 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 905,7810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(905,7810) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(905,7810) x common factors =5 x 1 = 5
LCM(905,7810) = ( 905 × 7810 ) / 5
LCM(905,7810) = 7068050 / 5
LCM(905,7810) = 1413610
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FAQs on GCF of Fractions of 2353/905, 1976/7810
1. What is the HCF of 2353,1976?
The HCF of 2353,1976 is 13
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 2353/905, 1976/7810?
Answer: GCF of Numerators as per given numbers 2353/905, 1976/7810 is
GCF of Numerators i.e. for 2353,1976 is 13
LCM of denominators i.e. for 905,7810 is 1413610.
Thus, GCF of Fractions is 13/1413610.Finally, GCF of Fractions for 2353/905, 1976/7810 is 13/1413610.