GCF of 829/361, 143/952, 502/991
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 829/361, 143/952, 502/991 i.e 1/340578952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 829/361, 143/952, 502/991.
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 829/361,143/952,502/991?
Given fractions are 829/361,143/952,502/991
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 829/361,143/952,502/991, numerators are 829,143,502
Denominators are 361,952,991
The GCF of 829,143,502 is 1 .
LCM of 361,952,991 is 340578952.
The greatest common factor of 829/361,143/952,502/991 = [GCF of 829,143,502]/[LCM of 361,952,991]= 1/340578952
Therefore, the GCF of 829/361,143/952,502/991 is 1/340578952.
To find the highest common factor of 829,143,502, we have to find the factors of both numbers and list the highest common factor.
The factors of 829 are 1, 829
The factors of 143 are 1, 11, 13, 143
The factors of 502 are 1, 2, 251, 502
The HCF of 829,143,502 is 1.
Lets's calculate GCF of 829,143,502
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 829,143,502 By Matching Biggest Common Factor Method
Now, list down the factors of 829
:1,829
Now, list down the factors of 143
:1,11,13,143
Now, list down the factors of 502
:1,2,251,502
Greatest Common Factor
We found the factors 829,143,502 . The biggest common factor number is the GCF number.
So the greatest common factor 829,143,502 is 1.
Lets's calculate LCM of 361,952,991
Given numbers has no common factors except 1. So, there LCM is their product i.e 340578952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/340578952
Therefore, the GCF of Fractions 829/361,143/952,502/991 is 1/340578952
Least Common Multiple of 361,952,991 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 361,952,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,952,991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,952,991) x common factors =1 x 1 = 1
LCM(361,952,991) = ( 361 × 952 × 991 ) / 1
LCM(361,952,991) = 340578952 / 1
LCM(361,952,991) = 340578952
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FAQs on GCF of Fractions of 829/361, 143/952, 502/991
1. What is the HCF of 829,143,502?
The HCF of 829,143,502 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 829/361, 143/952, 502/991?
Answer: GCF of Numerators as per given numbers 829/361, 143/952, 502/991 is
GCF of Numerators i.e. for 829,143,502 is 1
LCM of denominators i.e. for 361,952,991 is 340578952.
Thus, GCF of Fractions is 1/340578952.Finally, GCF of Fractions for 829/361, 143/952, 502/991 is 1/340578952.