GCF of 6900/836, 9762/7512
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6900/836, 9762/7512 i.e 6/1570008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6900/836, 9762/7512.
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 6900/836,9762/7512?
Given fractions are 6900/836,9762/7512
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 6900/836,9762/7512, numerators are 6900,9762
Denominators are 836,7512
The GCF of 6900,9762 is 6 .
LCM of 836,7512 is 1570008.
The greatest common factor of 6900/836,9762/7512 = [GCF of 6900,9762]/[LCM of 836,7512]= 6/1570008
Therefore, the GCF of 6900/836,9762/7512 is 6/1570008.
To find the highest common factor of 6900,9762, we have to find the factors of both numbers and list the highest common factor.
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 factors of 9762 are 1, 2, 3, 6, 1627, 3254, 4881, 9762
The HCF of 6900,9762 is 6.
Lets's calculate GCF of 6900,9762
| 2 | 6900, 9762 |
| 3 | 3450, 4881 |
| 1150, 1627 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6900,9762 By Matching Biggest Common Factor Method
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
Now, list down the factors of 9762
:1,2,3,6,1627,3254,4881,9762
Greatest Common Factor
We found the factors 6900,9762 . The biggest common factor number is the GCF number.
So the greatest common factor 6900,9762 is 6.
Lets's calculate LCM of 836,7512
| 2 | 836, 7512 |
| 2 | 418, 3756 |
| 209, 1878 |
∴ So the LCM of the given numbers is 2 x 2 x 209 x 1878 = 1570008
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1570008
Therefore, the GCF of Fractions 6900/836,9762/7512 is 6/1570008
Least Common Multiple of 836,7512 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 836,7512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(836,7512) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(836,7512) x common factors =4 x 1 = 4
LCM(836,7512) = ( 836 × 7512 ) / 4
LCM(836,7512) = 6280032 / 4
LCM(836,7512) = 1570008
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6900/836, 9762/7512
1. What is the HCF of 6900,9762?
The HCF of 6900,9762 is 6
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 6900/836, 9762/7512?
Answer: GCF of Numerators as per given numbers 6900/836, 9762/7512 is
GCF of Numerators i.e. for 6900,9762 is 6
LCM of denominators i.e. for 836,7512 is 1570008.
Thus, GCF of Fractions is 6/1570008.Finally, GCF of Fractions for 6900/836, 9762/7512 is 6/1570008.