GCF of 8605/468, 5650/340
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8605/468, 5650/340 i.e 5/39780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8605/468, 5650/340.
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 8605/468,5650/340?
Given fractions are 8605/468,5650/340
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 8605/468,5650/340, numerators are 8605,5650
Denominators are 468,340
The GCF of 8605,5650 is 5 .
LCM of 468,340 is 39780.
The greatest common factor of 8605/468,5650/340 = [GCF of 8605,5650]/[LCM of 468,340]= 5/39780
Therefore, the GCF of 8605/468,5650/340 is 5/39780.
To find the highest common factor of 8605,5650, we have to find the factors of both numbers and list the highest common factor.
The factors of 8605 are 1, 5, 1721, 8605
The factors of 5650 are 1, 2, 5, 10, 25, 50, 113, 226, 565, 1130, 2825, 5650
The HCF of 8605,5650 is 5.
Lets's calculate GCF of 8605,5650
| 5 | 8605, 5650 |
| 1721, 1130 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8605,5650 By Matching Biggest Common Factor Method
Now, list down the factors of 8605
:1,5,1721,8605
Now, list down the factors of 5650
:1,2,5,10,25,50,113,226,565,1130,2825,5650
Greatest Common Factor
We found the factors 8605,5650 . The biggest common factor number is the GCF number.
So the greatest common factor 8605,5650 is 5.
Lets's calculate LCM of 468,340
| 2 | 468, 340 |
| 2 | 234, 170 |
| 117, 85 |
∴ So the LCM of the given numbers is 2 x 2 x 117 x 85 = 39780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/39780
Therefore, the GCF of Fractions 8605/468,5650/340 is 5/39780
Least Common Multiple of 468,340 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 468,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,340) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(468,340) x common factors =4 x 1 = 4
LCM(468,340) = ( 468 × 340 ) / 4
LCM(468,340) = 159120 / 4
LCM(468,340) = 39780
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FAQs on GCF of Fractions of 8605/468, 5650/340
1. What is the HCF of 8605,5650?
The HCF of 8605,5650 is 5
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 8605/468, 5650/340?
Answer: GCF of Numerators as per given numbers 8605/468, 5650/340 is
GCF of Numerators i.e. for 8605,5650 is 5
LCM of denominators i.e. for 468,340 is 39780.
Thus, GCF of Fractions is 5/39780.Finally, GCF of Fractions for 8605/468, 5650/340 is 5/39780.