GCF of 5035/310, 8364/821
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5035/310, 8364/821 i.e 1/254510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5035/310, 8364/821.
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 5035/310,8364/821?
Given fractions are 5035/310,8364/821
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 5035/310,8364/821, numerators are 5035,8364
Denominators are 310,821
The GCF of 5035,8364 is 1 .
LCM of 310,821 is 254510.
The greatest common factor of 5035/310,8364/821 = [GCF of 5035,8364]/[LCM of 310,821]= 1/254510
Therefore, the GCF of 5035/310,8364/821 is 1/254510.
To find the highest common factor of 5035,8364, we have to find the factors of both numbers and list the highest common factor.
The factors of 5035 are 1, 5, 19, 53, 95, 265, 1007, 5035
The factors of 8364 are 1, 2, 3, 4, 6, 12, 17, 34, 41, 51, 68, 82, 102, 123, 164, 204, 246, 492, 697, 1394, 2091, 2788, 4182, 8364
The HCF of 5035,8364 is 1.
Lets's calculate GCF of 5035,8364
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5035,8364 By Matching Biggest Common Factor Method
Now, list down the factors of 5035
:1,5,19,53,95,265,1007,5035
Now, list down the factors of 8364
:1,2,3,4,6,12,17,34,41,51,68,82,102,123,164,204,246,492,697,1394,2091,2788,4182,8364
Greatest Common Factor
We found the factors 5035,8364 . The biggest common factor number is the GCF number.
So the greatest common factor 5035,8364 is 1.
Lets's calculate LCM of 310,821
Given numbers has no common factors except 1. So, there LCM is their product i.e 254510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/254510
Therefore, the GCF of Fractions 5035/310,8364/821 is 1/254510
Least Common Multiple of 310,821 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 310,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,821) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(310,821) x common factors =1 x 1 = 1
LCM(310,821) = ( 310 × 821 ) / 1
LCM(310,821) = 254510 / 1
LCM(310,821) = 254510
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FAQs on GCF of Fractions of 5035/310, 8364/821
1. What is the HCF of 5035,8364?
The HCF of 5035,8364 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 5035/310, 8364/821?
Answer: GCF of Numerators as per given numbers 5035/310, 8364/821 is
GCF of Numerators i.e. for 5035,8364 is 1
LCM of denominators i.e. for 310,821 is 254510.
Thus, GCF of Fractions is 1/254510.Finally, GCF of Fractions for 5035/310, 8364/821 is 1/254510.