GCF of 1560/388, 6900/7701
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1560/388, 6900/7701 i.e 60/2987988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1560/388, 6900/7701.
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 1560/388,6900/7701?
Given fractions are 1560/388,6900/7701
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 1560/388,6900/7701, numerators are 1560,6900
Denominators are 388,7701
The GCF of 1560,6900 is 60 .
LCM of 388,7701 is 2987988.
The greatest common factor of 1560/388,6900/7701 = [GCF of 1560,6900]/[LCM of 388,7701]= 60/2987988
Therefore, the GCF of 1560/388,6900/7701 is 60/2987988.
To find the highest common factor of 1560,6900, we have to find the factors of both numbers and list the highest common factor.
The factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560
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 1560,6900 is 60.
Lets's calculate GCF of 1560,6900
| 2 | 1560, 6900 |
| 2 | 780, 3450 |
| 3 | 390, 1725 |
| 5 | 130, 575 |
| 26, 115 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 = 60
Greatest Common Factor of 1560,6900 By Matching Biggest Common Factor Method
Now, list down the factors of 1560
:1,2,3,4,5,6,8,10,12,13,15,20,24,26,30,39,40,52,60,65,78,104,120,130,156,195,260,312,390,520,780,1560
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 1560,6900 . The biggest common factor number is the GCF number.
So the greatest common factor 1560,6900 is 60.
Lets's calculate LCM of 388,7701
Given numbers has no common factors except 1. So, there LCM is their product i.e 2987988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 60/2987988
Therefore, the GCF of Fractions 1560/388,6900/7701 is 60/2987988
Least Common Multiple of 388,7701 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 388,7701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(388,7701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(388,7701) x common factors =1 x 1 = 1
LCM(388,7701) = ( 388 × 7701 ) / 1
LCM(388,7701) = 2987988 / 1
LCM(388,7701) = 2987988
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FAQs on GCF of Fractions of 1560/388, 6900/7701
1. What is the HCF of 1560,6900?
The HCF of 1560,6900 is 60
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 1560/388, 6900/7701?
Answer: GCF of Numerators as per given numbers 1560/388, 6900/7701 is
GCF of Numerators i.e. for 1560,6900 is 60
LCM of denominators i.e. for 388,7701 is 2987988.
Thus, GCF of Fractions is 60/2987988.Finally, GCF of Fractions for 1560/388, 6900/7701 is 60/2987988.