GCF of 7500/116, 1360/4306
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7500/116, 1360/4306 i.e 20/249748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7500/116, 1360/4306.
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 7500/116,1360/4306?
Given fractions are 7500/116,1360/4306
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 7500/116,1360/4306, numerators are 7500,1360
Denominators are 116,4306
The GCF of 7500,1360 is 20 .
LCM of 116,4306 is 249748.
The greatest common factor of 7500/116,1360/4306 = [GCF of 7500,1360]/[LCM of 116,4306]= 20/249748
Therefore, the GCF of 7500/116,1360/4306 is 20/249748.
To find the highest common factor of 7500,1360, we have to find the factors of both numbers and list the highest common factor.
The factors of 7500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 625, 750, 1250, 1500, 1875, 2500, 3750, 7500
The factors of 1360 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360
The HCF of 7500,1360 is 20.
Lets's calculate GCF of 7500,1360
| 2 | 7500, 1360 |
| 2 | 3750, 680 |
| 5 | 1875, 340 |
| 375, 68 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 7500,1360 By Matching Biggest Common Factor Method
Now, list down the factors of 7500
:1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,125,150,250,300,375,500,625,750,1250,1500,1875,2500,3750,7500
Now, list down the factors of 1360
:1,2,4,5,8,10,16,17,20,34,40,68,80,85,136,170,272,340,680,1360
Greatest Common Factor
We found the factors 7500,1360 . The biggest common factor number is the GCF number.
So the greatest common factor 7500,1360 is 20.
Lets's calculate LCM of 116,4306
| 2 | 116, 4306 |
| 58, 2153 |
∴ So the LCM of the given numbers is 2 x 58 x 2153 = 249748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/249748
Therefore, the GCF of Fractions 7500/116,1360/4306 is 20/249748
Least Common Multiple of 116,4306 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 116,4306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,4306) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(116,4306) x common factors =2 x 1 = 2
LCM(116,4306) = ( 116 × 4306 ) / 2
LCM(116,4306) = 499496 / 2
LCM(116,4306) = 249748
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FAQs on GCF of Fractions of 7500/116, 1360/4306
1. What is the HCF of 7500,1360?
The HCF of 7500,1360 is 20
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 7500/116, 1360/4306?
Answer: GCF of Numerators as per given numbers 7500/116, 1360/4306 is
GCF of Numerators i.e. for 7500,1360 is 20
LCM of denominators i.e. for 116,4306 is 249748.
Thus, GCF of Fractions is 20/249748.Finally, GCF of Fractions for 7500/116, 1360/4306 is 20/249748.