GCF of 3980/334, 7350/708
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3980/334, 7350/708 i.e 10/118236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3980/334, 7350/708.
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 3980/334,7350/708?
Given fractions are 3980/334,7350/708
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 3980/334,7350/708, numerators are 3980,7350
Denominators are 334,708
The GCF of 3980,7350 is 10 .
LCM of 334,708 is 118236.
The greatest common factor of 3980/334,7350/708 = [GCF of 3980,7350]/[LCM of 334,708]= 10/118236
Therefore, the GCF of 3980/334,7350/708 is 10/118236.
To find the highest common factor of 3980,7350, we have to find the factors of both numbers and list the highest common factor.
The factors of 3980 are 1, 2, 4, 5, 10, 20, 199, 398, 796, 995, 1990, 3980
The factors of 7350 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 49, 50, 70, 75, 98, 105, 147, 150, 175, 210, 245, 294, 350, 490, 525, 735, 1050, 1225, 1470, 2450, 3675, 7350
The HCF of 3980,7350 is 10.
Lets's calculate GCF of 3980,7350
| 2 | 3980, 7350 |
| 5 | 1990, 3675 |
| 398, 735 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 3980,7350 By Matching Biggest Common Factor Method
Now, list down the factors of 3980
:1,2,4,5,10,20,199,398,796,995,1990,3980
Now, list down the factors of 7350
:1,2,3,5,6,7,10,14,15,21,25,30,35,42,49,50,70,75,98,105,147,150,175,210,245,294,350,490,525,735,1050,1225,1470,2450,3675,7350
Greatest Common Factor
We found the factors 3980,7350 . The biggest common factor number is the GCF number.
So the greatest common factor 3980,7350 is 10.
Lets's calculate LCM of 334,708
| 2 | 334, 708 |
| 167, 354 |
∴ So the LCM of the given numbers is 2 x 167 x 354 = 118236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/118236
Therefore, the GCF of Fractions 3980/334,7350/708 is 10/118236
Least Common Multiple of 334,708 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 334,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,708) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(334,708) x common factors =2 x 1 = 2
LCM(334,708) = ( 334 × 708 ) / 2
LCM(334,708) = 236472 / 2
LCM(334,708) = 118236
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FAQs on GCF of Fractions of 3980/334, 7350/708
1. What is the HCF of 3980,7350?
The HCF of 3980,7350 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 3980/334, 7350/708?
Answer: GCF of Numerators as per given numbers 3980/334, 7350/708 is
GCF of Numerators i.e. for 3980,7350 is 10
LCM of denominators i.e. for 334,708 is 118236.
Thus, GCF of Fractions is 10/118236.Finally, GCF of Fractions for 3980/334, 7350/708 is 10/118236.