GCF of 6962/510, 1209/1960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6962/510, 1209/1960 i.e 1/99960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6962/510, 1209/1960.
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 6962/510,1209/1960?
Given fractions are 6962/510,1209/1960
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 6962/510,1209/1960, numerators are 6962,1209
Denominators are 510,1960
The GCF of 6962,1209 is 1 .
LCM of 510,1960 is 99960.
The greatest common factor of 6962/510,1209/1960 = [GCF of 6962,1209]/[LCM of 510,1960]= 1/99960
Therefore, the GCF of 6962/510,1209/1960 is 1/99960.
To find the highest common factor of 6962,1209, we have to find the factors of both numbers and list the highest common factor.
The factors of 6962 are 1, 2, 59, 118, 3481, 6962
The factors of 1209 are 1, 3, 13, 31, 39, 93, 403, 1209
The HCF of 6962,1209 is 1.
Lets's calculate GCF of 6962,1209
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6962,1209 By Matching Biggest Common Factor Method
Now, list down the factors of 6962
:1,2,59,118,3481,6962
Now, list down the factors of 1209
:1,3,13,31,39,93,403,1209
Greatest Common Factor
We found the factors 6962,1209 . The biggest common factor number is the GCF number.
So the greatest common factor 6962,1209 is 1.
Lets's calculate LCM of 510,1960
| 2 | 510, 1960 |
| 5 | 255, 980 |
| 51, 196 |
∴ So the LCM of the given numbers is 2 x 5 x 51 x 196 = 99960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99960
Therefore, the GCF of Fractions 6962/510,1209/1960 is 1/99960
Least Common Multiple of 510,1960 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 510,1960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,1960) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(510,1960) x common factors =10 x 1 = 10
LCM(510,1960) = ( 510 × 1960 ) / 10
LCM(510,1960) = 999600 / 10
LCM(510,1960) = 99960
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FAQs on GCF of Fractions of 6962/510, 1209/1960
1. What is the HCF of 6962,1209?
The HCF of 6962,1209 is 1
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 6962/510, 1209/1960?
Answer: GCF of Numerators as per given numbers 6962/510, 1209/1960 is
GCF of Numerators i.e. for 6962,1209 is 1
LCM of denominators i.e. for 510,1960 is 99960.
Thus, GCF of Fractions is 1/99960.Finally, GCF of Fractions for 6962/510, 1209/1960 is 1/99960.