GCF of 325/148, 780/545
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 325/148, 780/545 i.e 65/80660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 325/148, 780/545.
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 325/148,780/545?
Given fractions are 325/148,780/545
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 325/148,780/545, numerators are 325,780
Denominators are 148,545
The GCF of 325,780 is 65 .
LCM of 148,545 is 80660.
The greatest common factor of 325/148,780/545 = [GCF of 325,780]/[LCM of 148,545]= 65/80660
Therefore, the GCF of 325/148,780/545 is 65/80660.
To find the highest common factor of 325,780, we have to find the factors of both numbers and list the highest common factor.
The factors of 325 are 1, 5, 13, 25, 65, 325
The factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
The HCF of 325,780 is 65.
Lets's calculate GCF of 325,780
| 5 | 325, 780 |
| 13 | 65, 156 |
| 5, 12 |
∴ So the GCF of the given numbers is 5 x 13 = 65
Greatest Common Factor of 325,780 By Matching Biggest Common Factor Method
Now, list down the factors of 325
:1,5,13,25,65,325
Now, list down the factors of 780
:1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Greatest Common Factor
We found the factors 325,780 . The biggest common factor number is the GCF number.
So the greatest common factor 325,780 is 65.
Lets's calculate LCM of 148,545
Given numbers has no common factors except 1. So, there LCM is their product i.e 80660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 65/80660
Therefore, the GCF of Fractions 325/148,780/545 is 65/80660
Least Common Multiple of 148,545 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 148,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(148,545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(148,545) x common factors =1 x 1 = 1
LCM(148,545) = ( 148 × 545 ) / 1
LCM(148,545) = 80660 / 1
LCM(148,545) = 80660
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FAQs on GCF of Fractions of 325/148, 780/545
1. What is the HCF of 325,780?
The HCF of 325,780 is 65
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 325/148, 780/545?
Answer: GCF of Numerators as per given numbers 325/148, 780/545 is
GCF of Numerators i.e. for 325,780 is 65
LCM of denominators i.e. for 148,545 is 80660.
Thus, GCF of Fractions is 65/80660.Finally, GCF of Fractions for 325/148, 780/545 is 65/80660.