GCF of 931/13, 580/630
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 931/13, 580/630 i.e 1/8190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 931/13, 580/630.
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 931/13,580/630?
Given fractions are 931/13,580/630
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 931/13,580/630, numerators are 931,580
Denominators are 13,630
The GCF of 931,580 is 1 .
LCM of 13,630 is 8190.
The greatest common factor of 931/13,580/630 = [GCF of 931,580]/[LCM of 13,630]= 1/8190
Therefore, the GCF of 931/13,580/630 is 1/8190.
To find the highest common factor of 931,580, we have to find the factors of both numbers and list the highest common factor.
The factors of 931 are 1, 7, 19, 49, 133, 931
The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
The HCF of 931,580 is 1.
Lets's calculate GCF of 931,580
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 931,580 By Matching Biggest Common Factor Method
Now, list down the factors of 931
:1,7,19,49,133,931
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 931,580 . The biggest common factor number is the GCF number.
So the greatest common factor 931,580 is 1.
Lets's calculate LCM of 13,630
Given numbers has no common factors except 1. So, there LCM is their product i.e 8190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8190
Therefore, the GCF of Fractions 931/13,580/630 is 1/8190
Least Common Multiple of 13,630 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 13,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,630) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,630) x common factors =1 x 1 = 1
LCM(13,630) = ( 13 × 630 ) / 1
LCM(13,630) = 8190 / 1
LCM(13,630) = 8190
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FAQs on GCF of Fractions of 931/13, 580/630
1. What is the HCF of 931,580?
The HCF of 931,580 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 931/13, 580/630?
Answer: GCF of Numerators as per given numbers 931/13, 580/630 is
GCF of Numerators i.e. for 931,580 is 1
LCM of denominators i.e. for 13,630 is 8190.
Thus, GCF of Fractions is 1/8190.Finally, GCF of Fractions for 931/13, 580/630 is 1/8190.