GCF of 2351/334, 7595/1282
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2351/334, 7595/1282 i.e 1/214094 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2351/334, 7595/1282.
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 2351/334,7595/1282?
Given fractions are 2351/334,7595/1282
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 2351/334,7595/1282, numerators are 2351,7595
Denominators are 334,1282
The GCF of 2351,7595 is 1 .
LCM of 334,1282 is 214094.
The greatest common factor of 2351/334,7595/1282 = [GCF of 2351,7595]/[LCM of 334,1282]= 1/214094
Therefore, the GCF of 2351/334,7595/1282 is 1/214094.
To find the highest common factor of 2351,7595, we have to find the factors of both numbers and list the highest common factor.
The factors of 2351 are 1, 2351
The factors of 7595 are 1, 5, 7, 31, 35, 49, 155, 217, 245, 1085, 1519, 7595
The HCF of 2351,7595 is 1.
Lets's calculate GCF of 2351,7595
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2351,7595 By Matching Biggest Common Factor Method
Now, list down the factors of 2351
:1,2351
Now, list down the factors of 7595
:1,5,7,31,35,49,155,217,245,1085,1519,7595
Greatest Common Factor
We found the factors 2351,7595 . The biggest common factor number is the GCF number.
So the greatest common factor 2351,7595 is 1.
Lets's calculate LCM of 334,1282
| 2 | 334, 1282 |
| 167, 641 |
∴ So the LCM of the given numbers is 2 x 167 x 641 = 214094
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/214094
Therefore, the GCF of Fractions 2351/334,7595/1282 is 1/214094
Least Common Multiple of 334,1282 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 334,1282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,1282) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(334,1282) x common factors =2 x 1 = 2
LCM(334,1282) = ( 334 × 1282 ) / 2
LCM(334,1282) = 428188 / 2
LCM(334,1282) = 214094
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FAQs on GCF of Fractions of 2351/334, 7595/1282
1. What is the HCF of 2351,7595?
The HCF of 2351,7595 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 2351/334, 7595/1282?
Answer: GCF of Numerators as per given numbers 2351/334, 7595/1282 is
GCF of Numerators i.e. for 2351,7595 is 1
LCM of denominators i.e. for 334,1282 is 214094.
Thus, GCF of Fractions is 1/214094.Finally, GCF of Fractions for 2351/334, 7595/1282 is 1/214094.