GCF of 7945/169, 9500/1567
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7945/169, 9500/1567 i.e 5/264823 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7945/169, 9500/1567.
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 7945/169,9500/1567?
Given fractions are 7945/169,9500/1567
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 7945/169,9500/1567, numerators are 7945,9500
Denominators are 169,1567
The GCF of 7945,9500 is 5 .
LCM of 169,1567 is 264823.
The greatest common factor of 7945/169,9500/1567 = [GCF of 7945,9500]/[LCM of 169,1567]= 5/264823
Therefore, the GCF of 7945/169,9500/1567 is 5/264823.
To find the highest common factor of 7945,9500, we have to find the factors of both numbers and list the highest common factor.
The factors of 7945 are 1, 5, 7, 35, 227, 1135, 1589, 7945
The factors of 9500 are 1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 125, 190, 250, 380, 475, 500, 950, 1900, 2375, 4750, 9500
The HCF of 7945,9500 is 5.
Lets's calculate GCF of 7945,9500
| 5 | 7945, 9500 |
| 1589, 1900 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7945,9500 By Matching Biggest Common Factor Method
Now, list down the factors of 7945
:1,5,7,35,227,1135,1589,7945
Now, list down the factors of 9500
:1,2,4,5,10,19,20,25,38,50,76,95,100,125,190,250,380,475,500,950,1900,2375,4750,9500
Greatest Common Factor
We found the factors 7945,9500 . The biggest common factor number is the GCF number.
So the greatest common factor 7945,9500 is 5.
Lets's calculate LCM of 169,1567
Given numbers has no common factors except 1. So, there LCM is their product i.e 264823
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/264823
Therefore, the GCF of Fractions 7945/169,9500/1567 is 5/264823
Least Common Multiple of 169,1567 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 169,1567 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(169,1567) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(169,1567) x common factors =1 x 1 = 1
LCM(169,1567) = ( 169 × 1567 ) / 1
LCM(169,1567) = 264823 / 1
LCM(169,1567) = 264823
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FAQs on GCF of Fractions of 7945/169, 9500/1567
1. What is the HCF of 7945,9500?
The HCF of 7945,9500 is 5
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 7945/169, 9500/1567?
Answer: GCF of Numerators as per given numbers 7945/169, 9500/1567 is
GCF of Numerators i.e. for 7945,9500 is 5
LCM of denominators i.e. for 169,1567 is 264823.
Thus, GCF of Fractions is 5/264823.Finally, GCF of Fractions for 7945/169, 9500/1567 is 5/264823.