GCF of 5701/977, 9230/732
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5701/977, 9230/732 i.e 1/715164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5701/977, 9230/732.
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 5701/977,9230/732?
Given fractions are 5701/977,9230/732
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 5701/977,9230/732, numerators are 5701,9230
Denominators are 977,732
The GCF of 5701,9230 is 1 .
LCM of 977,732 is 715164.
The greatest common factor of 5701/977,9230/732 = [GCF of 5701,9230]/[LCM of 977,732]= 1/715164
Therefore, the GCF of 5701/977,9230/732 is 1/715164.
To find the highest common factor of 5701,9230, we have to find the factors of both numbers and list the highest common factor.
The factors of 5701 are 1, 5701
The factors of 9230 are 1, 2, 5, 10, 13, 26, 65, 71, 130, 142, 355, 710, 923, 1846, 4615, 9230
The HCF of 5701,9230 is 1.
Lets's calculate GCF of 5701,9230
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5701,9230 By Matching Biggest Common Factor Method
Now, list down the factors of 5701
:1,5701
Now, list down the factors of 9230
:1,2,5,10,13,26,65,71,130,142,355,710,923,1846,4615,9230
Greatest Common Factor
We found the factors 5701,9230 . The biggest common factor number is the GCF number.
So the greatest common factor 5701,9230 is 1.
Lets's calculate LCM of 977,732
Given numbers has no common factors except 1. So, there LCM is their product i.e 715164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/715164
Therefore, the GCF of Fractions 5701/977,9230/732 is 1/715164
Least Common Multiple of 977,732 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 977,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,732) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,732) x common factors =1 x 1 = 1
LCM(977,732) = ( 977 × 732 ) / 1
LCM(977,732) = 715164 / 1
LCM(977,732) = 715164
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FAQs on GCF of Fractions of 5701/977, 9230/732
1. What is the HCF of 5701,9230?
The HCF of 5701,9230 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 5701/977, 9230/732?
Answer: GCF of Numerators as per given numbers 5701/977, 9230/732 is
GCF of Numerators i.e. for 5701,9230 is 1
LCM of denominators i.e. for 977,732 is 715164.
Thus, GCF of Fractions is 1/715164.Finally, GCF of Fractions for 5701/977, 9230/732 is 1/715164.