GCF of 780/481, 2551/153
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 780/481, 2551/153 i.e 1/73593 easily. The following is the detailed procedure to determine the greatest common factor of fractions 780/481, 2551/153.
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 780/481,2551/153?
Given fractions are 780/481,2551/153
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 780/481,2551/153, numerators are 780,2551
Denominators are 481,153
The GCF of 780,2551 is 1 .
LCM of 481,153 is 73593.
The greatest common factor of 780/481,2551/153 = [GCF of 780,2551]/[LCM of 481,153]= 1/73593
Therefore, the GCF of 780/481,2551/153 is 1/73593.
To find the highest common factor of 780,2551, we have to find the factors of both numbers and list the highest common factor.
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 factors of 2551 are 1, 2551
The HCF of 780,2551 is 1.
Lets's calculate GCF of 780,2551
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 780,2551 By Matching Biggest Common Factor Method
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
Now, list down the factors of 2551
:1,2551
Greatest Common Factor
We found the factors 780,2551 . The biggest common factor number is the GCF number.
So the greatest common factor 780,2551 is 1.
Lets's calculate LCM of 481,153
Given numbers has no common factors except 1. So, there LCM is their product i.e 73593
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73593
Therefore, the GCF of Fractions 780/481,2551/153 is 1/73593
Least Common Multiple of 481,153 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 481,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(481,153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(481,153) x common factors =1 x 1 = 1
LCM(481,153) = ( 481 × 153 ) / 1
LCM(481,153) = 73593 / 1
LCM(481,153) = 73593
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FAQs on GCF of Fractions of 780/481, 2551/153
1. What is the HCF of 780,2551?
The HCF of 780,2551 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 780/481, 2551/153?
Answer: GCF of Numerators as per given numbers 780/481, 2551/153 is
GCF of Numerators i.e. for 780,2551 is 1
LCM of denominators i.e. for 481,153 is 73593.
Thus, GCF of Fractions is 1/73593.Finally, GCF of Fractions for 780/481, 2551/153 is 1/73593.