GCF of 5773/212, 7139/8729
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5773/212, 7139/8729 i.e 1/1850548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5773/212, 7139/8729.
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 5773/212,7139/8729?
Given fractions are 5773/212,7139/8729
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 5773/212,7139/8729, numerators are 5773,7139
Denominators are 212,8729
The GCF of 5773,7139 is 1 .
LCM of 212,8729 is 1850548.
The greatest common factor of 5773/212,7139/8729 = [GCF of 5773,7139]/[LCM of 212,8729]= 1/1850548
Therefore, the GCF of 5773/212,7139/8729 is 1/1850548.
To find the highest common factor of 5773,7139, we have to find the factors of both numbers and list the highest common factor.
The factors of 5773 are 1, 23, 251, 5773
The factors of 7139 are 1, 11, 59, 121, 649, 7139
The HCF of 5773,7139 is 1.
Lets's calculate GCF of 5773,7139
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5773,7139 By Matching Biggest Common Factor Method
Now, list down the factors of 5773
:1,23,251,5773
Now, list down the factors of 7139
:1,11,59,121,649,7139
Greatest Common Factor
We found the factors 5773,7139 . The biggest common factor number is the GCF number.
So the greatest common factor 5773,7139 is 1.
Lets's calculate LCM of 212,8729
Given numbers has no common factors except 1. So, there LCM is their product i.e 1850548
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1850548
Therefore, the GCF of Fractions 5773/212,7139/8729 is 1/1850548
Least Common Multiple of 212,8729 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 212,8729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,8729) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(212,8729) x common factors =1 x 1 = 1
LCM(212,8729) = ( 212 × 8729 ) / 1
LCM(212,8729) = 1850548 / 1
LCM(212,8729) = 1850548
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FAQs on GCF of Fractions of 5773/212, 7139/8729
1. What is the HCF of 5773,7139?
The HCF of 5773,7139 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 5773/212, 7139/8729?
Answer: GCF of Numerators as per given numbers 5773/212, 7139/8729 is
GCF of Numerators i.e. for 5773,7139 is 1
LCM of denominators i.e. for 212,8729 is 1850548.
Thus, GCF of Fractions is 1/1850548.Finally, GCF of Fractions for 5773/212, 7139/8729 is 1/1850548.