GCF of 9770/574, 7620/7201
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9770/574, 7620/7201 i.e 10/4133374 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9770/574, 7620/7201.
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 9770/574,7620/7201?
Given fractions are 9770/574,7620/7201
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 9770/574,7620/7201, numerators are 9770,7620
Denominators are 574,7201
The GCF of 9770,7620 is 10 .
LCM of 574,7201 is 4133374.
The greatest common factor of 9770/574,7620/7201 = [GCF of 9770,7620]/[LCM of 574,7201]= 10/4133374
Therefore, the GCF of 9770/574,7620/7201 is 10/4133374.
To find the highest common factor of 9770,7620, we have to find the factors of both numbers and list the highest common factor.
The factors of 9770 are 1, 2, 5, 10, 977, 1954, 4885, 9770
The factors of 7620 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 127, 254, 381, 508, 635, 762, 1270, 1524, 1905, 2540, 3810, 7620
The HCF of 9770,7620 is 10.
Lets's calculate GCF of 9770,7620
| 2 | 9770, 7620 |
| 5 | 4885, 3810 |
| 977, 762 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 9770,7620 By Matching Biggest Common Factor Method
Now, list down the factors of 9770
:1,2,5,10,977,1954,4885,9770
Now, list down the factors of 7620
:1,2,3,4,5,6,10,12,15,20,30,60,127,254,381,508,635,762,1270,1524,1905,2540,3810,7620
Greatest Common Factor
We found the factors 9770,7620 . The biggest common factor number is the GCF number.
So the greatest common factor 9770,7620 is 10.
Lets's calculate LCM of 574,7201
Given numbers has no common factors except 1. So, there LCM is their product i.e 4133374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/4133374
Therefore, the GCF of Fractions 9770/574,7620/7201 is 10/4133374
Least Common Multiple of 574,7201 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 574,7201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(574,7201) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(574,7201) x common factors =1 x 1 = 1
LCM(574,7201) = ( 574 × 7201 ) / 1
LCM(574,7201) = 4133374 / 1
LCM(574,7201) = 4133374
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FAQs on GCF of Fractions of 9770/574, 7620/7201
1. What is the HCF of 9770,7620?
The HCF of 9770,7620 is 10
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 9770/574, 7620/7201?
Answer: GCF of Numerators as per given numbers 9770/574, 7620/7201 is
GCF of Numerators i.e. for 9770,7620 is 10
LCM of denominators i.e. for 574,7201 is 4133374.
Thus, GCF of Fractions is 10/4133374.Finally, GCF of Fractions for 9770/574, 7620/7201 is 10/4133374.