GCF of 6301/847, 8196/520
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6301/847, 8196/520 i.e 1/440440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6301/847, 8196/520.
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 6301/847,8196/520?
Given fractions are 6301/847,8196/520
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 6301/847,8196/520, numerators are 6301,8196
Denominators are 847,520
The GCF of 6301,8196 is 1 .
LCM of 847,520 is 440440.
The greatest common factor of 6301/847,8196/520 = [GCF of 6301,8196]/[LCM of 847,520]= 1/440440
Therefore, the GCF of 6301/847,8196/520 is 1/440440.
To find the highest common factor of 6301,8196, we have to find the factors of both numbers and list the highest common factor.
The factors of 6301 are 1, 6301
The factors of 8196 are 1, 2, 3, 4, 6, 12, 683, 1366, 2049, 2732, 4098, 8196
The HCF of 6301,8196 is 1.
Lets's calculate GCF of 6301,8196
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6301,8196 By Matching Biggest Common Factor Method
Now, list down the factors of 6301
:1,6301
Now, list down the factors of 8196
:1,2,3,4,6,12,683,1366,2049,2732,4098,8196
Greatest Common Factor
We found the factors 6301,8196 . The biggest common factor number is the GCF number.
So the greatest common factor 6301,8196 is 1.
Lets's calculate LCM of 847,520
Given numbers has no common factors except 1. So, there LCM is their product i.e 440440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/440440
Therefore, the GCF of Fractions 6301/847,8196/520 is 1/440440
Least Common Multiple of 847,520 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 847,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(847,520) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(847,520) x common factors =1 x 1 = 1
LCM(847,520) = ( 847 × 520 ) / 1
LCM(847,520) = 440440 / 1
LCM(847,520) = 440440
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FAQs on GCF of Fractions of 6301/847, 8196/520
1. What is the HCF of 6301,8196?
The HCF of 6301,8196 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 6301/847, 8196/520?
Answer: GCF of Numerators as per given numbers 6301/847, 8196/520 is
GCF of Numerators i.e. for 6301,8196 is 1
LCM of denominators i.e. for 847,520 is 440440.
Thus, GCF of Fractions is 1/440440.Finally, GCF of Fractions for 6301/847, 8196/520 is 1/440440.