GCF of 1356/160, 6900/101
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1356/160, 6900/101 i.e 12/16160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1356/160, 6900/101.
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 1356/160,6900/101?
Given fractions are 1356/160,6900/101
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 1356/160,6900/101, numerators are 1356,6900
Denominators are 160,101
The GCF of 1356,6900 is 12 .
LCM of 160,101 is 16160.
The greatest common factor of 1356/160,6900/101 = [GCF of 1356,6900]/[LCM of 160,101]= 12/16160
Therefore, the GCF of 1356/160,6900/101 is 12/16160.
To find the highest common factor of 1356,6900, we have to find the factors of both numbers and list the highest common factor.
The factors of 1356 are 1, 2, 3, 4, 6, 12, 113, 226, 339, 452, 678, 1356
The factors of 6900 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 25, 30, 46, 50, 60, 69, 75, 92, 100, 115, 138, 150, 230, 276, 300, 345, 460, 575, 690, 1150, 1380, 1725, 2300, 3450, 6900
The HCF of 1356,6900 is 12.
Lets's calculate GCF of 1356,6900
| 2 | 1356, 6900 |
| 2 | 678, 3450 |
| 3 | 339, 1725 |
| 113, 575 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 1356,6900 By Matching Biggest Common Factor Method
Now, list down the factors of 1356
:1,2,3,4,6,12,113,226,339,452,678,1356
Now, list down the factors of 6900
:1,2,3,4,5,6,10,12,15,20,23,25,30,46,50,60,69,75,92,100,115,138,150,230,276,300,345,460,575,690,1150,1380,1725,2300,3450,6900
Greatest Common Factor
We found the factors 1356,6900 . The biggest common factor number is the GCF number.
So the greatest common factor 1356,6900 is 12.
Lets's calculate LCM of 160,101
Given numbers has no common factors except 1. So, there LCM is their product i.e 16160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/16160
Therefore, the GCF of Fractions 1356/160,6900/101 is 12/16160
Least Common Multiple of 160,101 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 160,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(160,101) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(160,101) x common factors =1 x 1 = 1
LCM(160,101) = ( 160 × 101 ) / 1
LCM(160,101) = 16160 / 1
LCM(160,101) = 16160
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FAQs on GCF of Fractions of 1356/160, 6900/101
1. What is the HCF of 1356,6900?
The HCF of 1356,6900 is 12
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 1356/160, 6900/101?
Answer: GCF of Numerators as per given numbers 1356/160, 6900/101 is
GCF of Numerators i.e. for 1356,6900 is 12
LCM of denominators i.e. for 160,101 is 16160.
Thus, GCF of Fractions is 12/16160.Finally, GCF of Fractions for 1356/160, 6900/101 is 12/16160.