GCF of 6572/365, 3100/765
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6572/365, 3100/765 i.e 124/55845 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6572/365, 3100/765.
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 6572/365,3100/765?
Given fractions are 6572/365,3100/765
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 6572/365,3100/765, numerators are 6572,3100
Denominators are 365,765
The GCF of 6572,3100 is 124 .
LCM of 365,765 is 55845.
The greatest common factor of 6572/365,3100/765 = [GCF of 6572,3100]/[LCM of 365,765]= 124/55845
Therefore, the GCF of 6572/365,3100/765 is 124/55845.
To find the highest common factor of 6572,3100, we have to find the factors of both numbers and list the highest common factor.
The factors of 6572 are 1, 2, 4, 31, 53, 62, 106, 124, 212, 1643, 3286, 6572
The factors of 3100 are 1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775, 1550, 3100
The HCF of 6572,3100 is 124.
Lets's calculate GCF of 6572,3100
| 2 | 6572, 3100 |
| 2 | 3286, 1550 |
| 31 | 1643, 775 |
| 53, 25 |
∴ So the GCF of the given numbers is 2 x 2 x 31 = 124
Greatest Common Factor of 6572,3100 By Matching Biggest Common Factor Method
Now, list down the factors of 6572
:1,2,4,31,53,62,106,124,212,1643,3286,6572
Now, list down the factors of 3100
:1,2,4,5,10,20,25,31,50,62,100,124,155,310,620,775,1550,3100
Greatest Common Factor
We found the factors 6572,3100 . The biggest common factor number is the GCF number.
So the greatest common factor 6572,3100 is 124.
Lets's calculate LCM of 365,765
| 5 | 365, 765 |
| 73, 153 |
∴ So the LCM of the given numbers is 5 x 73 x 153 = 55845
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 124/55845
Therefore, the GCF of Fractions 6572/365,3100/765 is 124/55845
Least Common Multiple of 365,765 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 365,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,765) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(365,765) x common factors =5 x 1 = 5
LCM(365,765) = ( 365 × 765 ) / 5
LCM(365,765) = 279225 / 5
LCM(365,765) = 55845
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FAQs on GCF of Fractions of 6572/365, 3100/765
1. What is the HCF of 6572,3100?
The HCF of 6572,3100 is 124
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 6572/365, 3100/765?
Answer: GCF of Numerators as per given numbers 6572/365, 3100/765 is
GCF of Numerators i.e. for 6572,3100 is 124
LCM of denominators i.e. for 365,765 is 55845.
Thus, GCF of Fractions is 124/55845.Finally, GCF of Fractions for 6572/365, 3100/765 is 124/55845.