GCF of 1562/756, 3450/172
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1562/756, 3450/172 i.e 2/32508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1562/756, 3450/172.
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 1562/756,3450/172?
Given fractions are 1562/756,3450/172
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 1562/756,3450/172, numerators are 1562,3450
Denominators are 756,172
The GCF of 1562,3450 is 2 .
LCM of 756,172 is 32508.
The greatest common factor of 1562/756,3450/172 = [GCF of 1562,3450]/[LCM of 756,172]= 2/32508
Therefore, the GCF of 1562/756,3450/172 is 2/32508.
To find the highest common factor of 1562,3450, we have to find the factors of both numbers and list the highest common factor.
The factors of 1562 are 1, 2, 11, 22, 71, 142, 781, 1562
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 1562,3450 is 2.
Lets's calculate GCF of 1562,3450
| 2 | 1562, 3450 |
| 781, 1725 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1562,3450 By Matching Biggest Common Factor Method
Now, list down the factors of 1562
:1,2,11,22,71,142,781,1562
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 1562,3450 . The biggest common factor number is the GCF number.
So the greatest common factor 1562,3450 is 2.
Lets's calculate LCM of 756,172
| 2 | 756, 172 |
| 2 | 378, 86 |
| 189, 43 |
∴ So the LCM of the given numbers is 2 x 2 x 189 x 43 = 32508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32508
Therefore, the GCF of Fractions 1562/756,3450/172 is 2/32508
Least Common Multiple of 756,172 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 756,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,172) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(756,172) x common factors =4 x 1 = 4
LCM(756,172) = ( 756 × 172 ) / 4
LCM(756,172) = 130032 / 4
LCM(756,172) = 32508
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FAQs on GCF of Fractions of 1562/756, 3450/172
1. What is the HCF of 1562,3450?
The HCF of 1562,3450 is 2
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 1562/756, 3450/172?
Answer: GCF of Numerators as per given numbers 1562/756, 3450/172 is
GCF of Numerators i.e. for 1562,3450 is 2
LCM of denominators i.e. for 756,172 is 32508.
Thus, GCF of Fractions is 2/32508.Finally, GCF of Fractions for 1562/756, 3450/172 is 2/32508.