GCF of 3460/418, 8590/2416
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3460/418, 8590/2416 i.e 10/504944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3460/418, 8590/2416.
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 3460/418,8590/2416?
Given fractions are 3460/418,8590/2416
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 3460/418,8590/2416, numerators are 3460,8590
Denominators are 418,2416
The GCF of 3460,8590 is 10 .
LCM of 418,2416 is 504944.
The greatest common factor of 3460/418,8590/2416 = [GCF of 3460,8590]/[LCM of 418,2416]= 10/504944
Therefore, the GCF of 3460/418,8590/2416 is 10/504944.
To find the highest common factor of 3460,8590, we have to find the factors of both numbers and list the highest common factor.
The factors of 3460 are 1, 2, 4, 5, 10, 20, 173, 346, 692, 865, 1730, 3460
The factors of 8590 are 1, 2, 5, 10, 859, 1718, 4295, 8590
The HCF of 3460,8590 is 10.
Lets's calculate GCF of 3460,8590
| 2 | 3460, 8590 |
| 5 | 1730, 4295 |
| 346, 859 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 3460,8590 By Matching Biggest Common Factor Method
Now, list down the factors of 3460
:1,2,4,5,10,20,173,346,692,865,1730,3460
Now, list down the factors of 8590
:1,2,5,10,859,1718,4295,8590
Greatest Common Factor
We found the factors 3460,8590 . The biggest common factor number is the GCF number.
So the greatest common factor 3460,8590 is 10.
Lets's calculate LCM of 418,2416
| 2 | 418, 2416 |
| 209, 1208 |
∴ So the LCM of the given numbers is 2 x 209 x 1208 = 504944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/504944
Therefore, the GCF of Fractions 3460/418,8590/2416 is 10/504944
Least Common Multiple of 418,2416 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 418,2416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,2416) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(418,2416) x common factors =2 x 1 = 2
LCM(418,2416) = ( 418 × 2416 ) / 2
LCM(418,2416) = 1009888 / 2
LCM(418,2416) = 504944
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FAQs on GCF of Fractions of 3460/418, 8590/2416
1. What is the HCF of 3460,8590?
The HCF of 3460,8590 is 10
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 3460/418, 8590/2416?
Answer: GCF of Numerators as per given numbers 3460/418, 8590/2416 is
GCF of Numerators i.e. for 3460,8590 is 10
LCM of denominators i.e. for 418,2416 is 504944.
Thus, GCF of Fractions is 10/504944.Finally, GCF of Fractions for 3460/418, 8590/2416 is 10/504944.