GCF of 7609/980, 5969/402
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7609/980, 5969/402 i.e 1/196980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7609/980, 5969/402.
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 7609/980,5969/402?
Given fractions are 7609/980,5969/402
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 7609/980,5969/402, numerators are 7609,5969
Denominators are 980,402
The GCF of 7609,5969 is 1 .
LCM of 980,402 is 196980.
The greatest common factor of 7609/980,5969/402 = [GCF of 7609,5969]/[LCM of 980,402]= 1/196980
Therefore, the GCF of 7609/980,5969/402 is 1/196980.
To find the highest common factor of 7609,5969, we have to find the factors of both numbers and list the highest common factor.
The factors of 7609 are 1, 7, 1087, 7609
The factors of 5969 are 1, 47, 127, 5969
The HCF of 7609,5969 is 1.
Lets's calculate GCF of 7609,5969
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7609,5969 By Matching Biggest Common Factor Method
Now, list down the factors of 7609
:1,7,1087,7609
Now, list down the factors of 5969
:1,47,127,5969
Greatest Common Factor
We found the factors 7609,5969 . The biggest common factor number is the GCF number.
So the greatest common factor 7609,5969 is 1.
Lets's calculate LCM of 980,402
| 2 | 980, 402 |
| 490, 201 |
∴ So the LCM of the given numbers is 2 x 490 x 201 = 196980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/196980
Therefore, the GCF of Fractions 7609/980,5969/402 is 1/196980
Least Common Multiple of 980,402 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 980,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(980,402) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(980,402) x common factors =2 x 1 = 2
LCM(980,402) = ( 980 × 402 ) / 2
LCM(980,402) = 393960 / 2
LCM(980,402) = 196980
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7609/980, 5969/402
1. What is the HCF of 7609,5969?
The HCF of 7609,5969 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 7609/980, 5969/402?
Answer: GCF of Numerators as per given numbers 7609/980, 5969/402 is
GCF of Numerators i.e. for 7609,5969 is 1
LCM of denominators i.e. for 980,402 is 196980.
Thus, GCF of Fractions is 1/196980.Finally, GCF of Fractions for 7609/980, 5969/402 is 1/196980.