GCF of 629/78, 580/271
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 629/78, 580/271 i.e 1/21138 easily. The following is the detailed procedure to determine the greatest common factor of fractions 629/78, 580/271.
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 629/78,580/271?
Given fractions are 629/78,580/271
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 629/78,580/271, numerators are 629,580
Denominators are 78,271
The GCF of 629,580 is 1 .
LCM of 78,271 is 21138.
The greatest common factor of 629/78,580/271 = [GCF of 629,580]/[LCM of 78,271]= 1/21138
Therefore, the GCF of 629/78,580/271 is 1/21138.
To find the highest common factor of 629,580, we have to find the factors of both numbers and list the highest common factor.
The factors of 629 are 1, 17, 37, 629
The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
The HCF of 629,580 is 1.
Lets's calculate GCF of 629,580
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 629,580 By Matching Biggest Common Factor Method
Now, list down the factors of 629
:1,17,37,629
Now, list down the factors of 580
:1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 629,580 . The biggest common factor number is the GCF number.
So the greatest common factor 629,580 is 1.
Lets's calculate LCM of 78,271
Given numbers has no common factors except 1. So, there LCM is their product i.e 21138
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21138
Therefore, the GCF of Fractions 629/78,580/271 is 1/21138
Least Common Multiple of 78,271 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 78,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(78,271) x common factors =1 x 1 = 1
LCM(78,271) = ( 78 × 271 ) / 1
LCM(78,271) = 21138 / 1
LCM(78,271) = 21138
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FAQs on GCF of Fractions of 629/78, 580/271
1. What is the HCF of 629,580?
The HCF of 629,580 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 629/78, 580/271?
Answer: GCF of Numerators as per given numbers 629/78, 580/271 is
GCF of Numerators i.e. for 629,580 is 1
LCM of denominators i.e. for 78,271 is 21138.
Thus, GCF of Fractions is 1/21138.Finally, GCF of Fractions for 629/78, 580/271 is 1/21138.