GCF of 89/801, 53/587, 602/245
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 89/801, 53/587, 602/245 i.e 1/115195815 easily. The following is the detailed procedure to determine the greatest common factor of fractions 89/801, 53/587, 602/245.
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 89/801,53/587,602/245?
Given fractions are 89/801,53/587,602/245
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 89/801,53/587,602/245, numerators are 89,53,602
Denominators are 801,587,245
The GCF of 89,53,602 is 1 .
LCM of 801,587,245 is 115195815.
The greatest common factor of 89/801,53/587,602/245 = [GCF of 89,53,602]/[LCM of 801,587,245]= 1/115195815
Therefore, the GCF of 89/801,53/587,602/245 is 1/115195815.
To find the highest common factor of 89,53,602, we have to find the factors of both numbers and list the highest common factor.
The factors of 89 are 1, 89
The factors of 53 are 1, 53
The factors of 602 are 1, 2, 7, 14, 43, 86, 301, 602
The HCF of 89,53,602 is 1.
Lets's calculate GCF of 89,53,602
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 89,53,602 By Matching Biggest Common Factor Method
Now, list down the factors of 89
:1,89
Now, list down the factors of 53
:1,53
Now, list down the factors of 602
:1,2,7,14,43,86,301,602
Greatest Common Factor
We found the factors 89,53,602 . The biggest common factor number is the GCF number.
So the greatest common factor 89,53,602 is 1.
Lets's calculate LCM of 801,587,245
Given numbers has no common factors except 1. So, there LCM is their product i.e 115195815
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115195815
Therefore, the GCF of Fractions 89/801,53/587,602/245 is 1/115195815
Least Common Multiple of 801,587,245 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 801,587,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(801,587,245) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(801,587,245) x common factors =1 x 1 = 1
LCM(801,587,245) = ( 801 × 587 × 245 ) / 1
LCM(801,587,245) = 115195815 / 1
LCM(801,587,245) = 115195815
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FAQs on GCF of Fractions of 89/801, 53/587, 602/245
1. What is the HCF of 89,53,602?
The HCF of 89,53,602 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 89/801, 53/587, 602/245?
Answer: GCF of Numerators as per given numbers 89/801, 53/587, 602/245 is
GCF of Numerators i.e. for 89,53,602 is 1
LCM of denominators i.e. for 801,587,245 is 115195815.
Thus, GCF of Fractions is 1/115195815.Finally, GCF of Fractions for 89/801, 53/587, 602/245 is 1/115195815.