GCF of 7651/620, 7312/600
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7651/620, 7312/600 i.e 1/18600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7651/620, 7312/600.
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 7651/620,7312/600?
Given fractions are 7651/620,7312/600
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 7651/620,7312/600, numerators are 7651,7312
Denominators are 620,600
The GCF of 7651,7312 is 1 .
LCM of 620,600 is 18600.
The greatest common factor of 7651/620,7312/600 = [GCF of 7651,7312]/[LCM of 620,600]= 1/18600
Therefore, the GCF of 7651/620,7312/600 is 1/18600.
To find the highest common factor of 7651,7312, we have to find the factors of both numbers and list the highest common factor.
The factors of 7651 are 1, 7, 1093, 7651
The factors of 7312 are 1, 2, 4, 8, 16, 457, 914, 1828, 3656, 7312
The HCF of 7651,7312 is 1.
Lets's calculate GCF of 7651,7312
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7651,7312 By Matching Biggest Common Factor Method
Now, list down the factors of 7651
:1,7,1093,7651
Now, list down the factors of 7312
:1,2,4,8,16,457,914,1828,3656,7312
Greatest Common Factor
We found the factors 7651,7312 . The biggest common factor number is the GCF number.
So the greatest common factor 7651,7312 is 1.
Lets's calculate LCM of 620,600
| 2 | 620, 600 |
| 2 | 310, 300 |
| 5 | 155, 150 |
| 31, 30 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 31 x 30 = 18600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18600
Therefore, the GCF of Fractions 7651/620,7312/600 is 1/18600
Least Common Multiple of 620,600 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 620,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,600) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(620,600) x common factors =20 x 1 = 20
LCM(620,600) = ( 620 × 600 ) / 20
LCM(620,600) = 372000 / 20
LCM(620,600) = 18600
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FAQs on GCF of Fractions of 7651/620, 7312/600
1. What is the HCF of 7651,7312?
The HCF of 7651,7312 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 7651/620, 7312/600?
Answer: GCF of Numerators as per given numbers 7651/620, 7312/600 is
GCF of Numerators i.e. for 7651,7312 is 1
LCM of denominators i.e. for 620,600 is 18600.
Thus, GCF of Fractions is 1/18600.Finally, GCF of Fractions for 7651/620, 7312/600 is 1/18600.