GCF of 7461/856, 6820/9372
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7461/856, 6820/9372 i.e 1/2005608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7461/856, 6820/9372.
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 7461/856,6820/9372?
Given fractions are 7461/856,6820/9372
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 7461/856,6820/9372, numerators are 7461,6820
Denominators are 856,9372
The GCF of 7461,6820 is 1 .
LCM of 856,9372 is 2005608.
The greatest common factor of 7461/856,6820/9372 = [GCF of 7461,6820]/[LCM of 856,9372]= 1/2005608
Therefore, the GCF of 7461/856,6820/9372 is 1/2005608.
To find the highest common factor of 7461,6820, we have to find the factors of both numbers and list the highest common factor.
The factors of 7461 are 1, 3, 9, 829, 2487, 7461
The factors of 6820 are 1, 2, 4, 5, 10, 11, 20, 22, 31, 44, 55, 62, 110, 124, 155, 220, 310, 341, 620, 682, 1364, 1705, 3410, 6820
The HCF of 7461,6820 is 1.
Lets's calculate GCF of 7461,6820
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7461,6820 By Matching Biggest Common Factor Method
Now, list down the factors of 7461
:1,3,9,829,2487,7461
Now, list down the factors of 6820
:1,2,4,5,10,11,20,22,31,44,55,62,110,124,155,220,310,341,620,682,1364,1705,3410,6820
Greatest Common Factor
We found the factors 7461,6820 . The biggest common factor number is the GCF number.
So the greatest common factor 7461,6820 is 1.
Lets's calculate LCM of 856,9372
| 2 | 856, 9372 |
| 2 | 428, 4686 |
| 214, 2343 |
∴ So the LCM of the given numbers is 2 x 2 x 214 x 2343 = 2005608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2005608
Therefore, the GCF of Fractions 7461/856,6820/9372 is 1/2005608
Least Common Multiple of 856,9372 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 856,9372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(856,9372) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(856,9372) x common factors =4 x 1 = 4
LCM(856,9372) = ( 856 × 9372 ) / 4
LCM(856,9372) = 8022432 / 4
LCM(856,9372) = 2005608
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FAQs on GCF of Fractions of 7461/856, 6820/9372
1. What is the HCF of 7461,6820?
The HCF of 7461,6820 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 7461/856, 6820/9372?
Answer: GCF of Numerators as per given numbers 7461/856, 6820/9372 is
GCF of Numerators i.e. for 7461,6820 is 1
LCM of denominators i.e. for 856,9372 is 2005608.
Thus, GCF of Fractions is 1/2005608.Finally, GCF of Fractions for 7461/856, 6820/9372 is 1/2005608.