GCF of 9770/909, 9620/7445
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9770/909, 9620/7445 i.e 10/6767505 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9770/909, 9620/7445.
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 9770/909,9620/7445?
Given fractions are 9770/909,9620/7445
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 9770/909,9620/7445, numerators are 9770,9620
Denominators are 909,7445
The GCF of 9770,9620 is 10 .
LCM of 909,7445 is 6767505.
The greatest common factor of 9770/909,9620/7445 = [GCF of 9770,9620]/[LCM of 909,7445]= 10/6767505
Therefore, the GCF of 9770/909,9620/7445 is 10/6767505.
To find the highest common factor of 9770,9620, 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 9620 are 1, 2, 4, 5, 10, 13, 20, 26, 37, 52, 65, 74, 130, 148, 185, 260, 370, 481, 740, 962, 1924, 2405, 4810, 9620
The HCF of 9770,9620 is 10.
Lets's calculate GCF of 9770,9620
| 2 | 9770, 9620 |
| 5 | 4885, 4810 |
| 977, 962 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 9770,9620 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 9620
:1,2,4,5,10,13,20,26,37,52,65,74,130,148,185,260,370,481,740,962,1924,2405,4810,9620
Greatest Common Factor
We found the factors 9770,9620 . The biggest common factor number is the GCF number.
So the greatest common factor 9770,9620 is 10.
Lets's calculate LCM of 909,7445
Given numbers has no common factors except 1. So, there LCM is their product i.e 6767505
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/6767505
Therefore, the GCF of Fractions 9770/909,9620/7445 is 10/6767505
Least Common Multiple of 909,7445 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 909,7445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(909,7445) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(909,7445) x common factors =1 x 1 = 1
LCM(909,7445) = ( 909 × 7445 ) / 1
LCM(909,7445) = 6767505 / 1
LCM(909,7445) = 6767505
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9770/909, 9620/7445
1. What is the HCF of 9770,9620?
The HCF of 9770,9620 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 9770/909, 9620/7445?
Answer: GCF of Numerators as per given numbers 9770/909, 9620/7445 is
GCF of Numerators i.e. for 9770,9620 is 10
LCM of denominators i.e. for 909,7445 is 6767505.
Thus, GCF of Fractions is 10/6767505.Finally, GCF of Fractions for 9770/909, 9620/7445 is 10/6767505.