GCF of 63/629, 851/802
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 63/629, 851/802 i.e 1/504458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 63/629, 851/802.
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 63/629,851/802?
Given fractions are 63/629,851/802
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 63/629,851/802, numerators are 63,851
Denominators are 629,802
The GCF of 63,851 is 1 .
LCM of 629,802 is 504458.
The greatest common factor of 63/629,851/802 = [GCF of 63,851]/[LCM of 629,802]= 1/504458
Therefore, the GCF of 63/629,851/802 is 1/504458.
To find the highest common factor of 63,851, we have to find the factors of both numbers and list the highest common factor.
The factors of 63 are 1, 3, 7, 9, 21, 63
The factors of 851 are 1, 23, 37, 851
The HCF of 63,851 is 1.
Lets's calculate GCF of 63,851
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 63,851 By Matching Biggest Common Factor Method
Now, list down the factors of 63
:1,3,7,9,21,63
Now, list down the factors of 851
:1,23,37,851
Greatest Common Factor
We found the factors 63,851 . The biggest common factor number is the GCF number.
So the greatest common factor 63,851 is 1.
Lets's calculate LCM of 629,802
Given numbers has no common factors except 1. So, there LCM is their product i.e 504458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/504458
Therefore, the GCF of Fractions 63/629,851/802 is 1/504458
Least Common Multiple of 629,802 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 629,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(629,802) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(629,802) x common factors =1 x 1 = 1
LCM(629,802) = ( 629 × 802 ) / 1
LCM(629,802) = 504458 / 1
LCM(629,802) = 504458
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FAQs on GCF of Fractions of 63/629, 851/802
1. What is the HCF of 63,851?
The HCF of 63,851 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 63/629, 851/802?
Answer: GCF of Numerators as per given numbers 63/629, 851/802 is
GCF of Numerators i.e. for 63,851 is 1
LCM of denominators i.e. for 629,802 is 504458.
Thus, GCF of Fractions is 1/504458.Finally, GCF of Fractions for 63/629, 851/802 is 1/504458.