GCF of 7900/352, 3450/1648
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7900/352, 3450/1648 i.e 50/36256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7900/352, 3450/1648.
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 7900/352,3450/1648?
Given fractions are 7900/352,3450/1648
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 7900/352,3450/1648, numerators are 7900,3450
Denominators are 352,1648
The GCF of 7900,3450 is 50 .
LCM of 352,1648 is 36256.
The greatest common factor of 7900/352,3450/1648 = [GCF of 7900,3450]/[LCM of 352,1648]= 50/36256
Therefore, the GCF of 7900/352,3450/1648 is 50/36256.
To find the highest common factor of 7900,3450, we have to find the factors of both numbers and list the highest common factor.
The factors of 7900 are 1, 2, 4, 5, 10, 20, 25, 50, 79, 100, 158, 316, 395, 790, 1580, 1975, 3950, 7900
The factors of 3450 are 1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 138, 150, 230, 345, 575, 690, 1150, 1725, 3450
The HCF of 7900,3450 is 50.
Lets's calculate GCF of 7900,3450
| 2 | 7900, 3450 |
| 5 | 3950, 1725 |
| 5 | 790, 345 |
| 158, 69 |
∴ So the GCF of the given numbers is 2 x 5 x 5 = 50
Greatest Common Factor of 7900,3450 By Matching Biggest Common Factor Method
Now, list down the factors of 7900
:1,2,4,5,10,20,25,50,79,100,158,316,395,790,1580,1975,3950,7900
Now, list down the factors of 3450
:1,2,3,5,6,10,15,23,25,30,46,50,69,75,115,138,150,230,345,575,690,1150,1725,3450
Greatest Common Factor
We found the factors 7900,3450 . The biggest common factor number is the GCF number.
So the greatest common factor 7900,3450 is 50.
Lets's calculate LCM of 352,1648
| 2 | 352, 1648 |
| 2 | 176, 824 |
| 2 | 88, 412 |
| 2 | 44, 206 |
| 22, 103 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 22 x 103 = 36256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 50/36256
Therefore, the GCF of Fractions 7900/352,3450/1648 is 50/36256
Least Common Multiple of 352,1648 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 352,1648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(352,1648) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(352,1648) x common factors =16 x 1 = 16
LCM(352,1648) = ( 352 × 1648 ) / 16
LCM(352,1648) = 580096 / 16
LCM(352,1648) = 36256
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7900/352, 3450/1648
1. What is the HCF of 7900,3450?
The HCF of 7900,3450 is 50
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 7900/352, 3450/1648?
Answer: GCF of Numerators as per given numbers 7900/352, 3450/1648 is
GCF of Numerators i.e. for 7900,3450 is 50
LCM of denominators i.e. for 352,1648 is 36256.
Thus, GCF of Fractions is 50/36256.Finally, GCF of Fractions for 7900/352, 3450/1648 is 50/36256.