GCF of 952/414, 2590/813
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 952/414, 2590/813 i.e 14/112194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 952/414, 2590/813.
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 952/414,2590/813?
Given fractions are 952/414,2590/813
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 952/414,2590/813, numerators are 952,2590
Denominators are 414,813
The GCF of 952,2590 is 14 .
LCM of 414,813 is 112194.
The greatest common factor of 952/414,2590/813 = [GCF of 952,2590]/[LCM of 414,813]= 14/112194
Therefore, the GCF of 952/414,2590/813 is 14/112194.
To find the highest common factor of 952,2590, we have to find the factors of both numbers and list the highest common factor.
The factors of 952 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
The factors of 2590 are 1, 2, 5, 7, 10, 14, 35, 37, 70, 74, 185, 259, 370, 518, 1295, 2590
The HCF of 952,2590 is 14.
Lets's calculate GCF of 952,2590
| 2 | 952, 2590 |
| 7 | 476, 1295 |
| 68, 185 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 952,2590 By Matching Biggest Common Factor Method
Now, list down the factors of 952
:1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Now, list down the factors of 2590
:1,2,5,7,10,14,35,37,70,74,185,259,370,518,1295,2590
Greatest Common Factor
We found the factors 952,2590 . The biggest common factor number is the GCF number.
So the greatest common factor 952,2590 is 14.
Lets's calculate LCM of 414,813
| 3 | 414, 813 |
| 138, 271 |
∴ So the LCM of the given numbers is 3 x 138 x 271 = 112194
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/112194
Therefore, the GCF of Fractions 952/414,2590/813 is 14/112194
Least Common Multiple of 414,813 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 414,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,813) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(414,813) x common factors =3 x 1 = 3
LCM(414,813) = ( 414 × 813 ) / 3
LCM(414,813) = 336582 / 3
LCM(414,813) = 112194
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FAQs on GCF of Fractions of 952/414, 2590/813
1. What is the HCF of 952,2590?
The HCF of 952,2590 is 14
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 952/414, 2590/813?
Answer: GCF of Numerators as per given numbers 952/414, 2590/813 is
GCF of Numerators i.e. for 952,2590 is 14
LCM of denominators i.e. for 414,813 is 112194.
Thus, GCF of Fractions is 14/112194.Finally, GCF of Fractions for 952/414, 2590/813 is 14/112194.