GCF of 7795/802, 6408/1859
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7795/802, 6408/1859 i.e 1/1490918 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7795/802, 6408/1859.
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 7795/802,6408/1859?
Given fractions are 7795/802,6408/1859
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 7795/802,6408/1859, numerators are 7795,6408
Denominators are 802,1859
The GCF of 7795,6408 is 1 .
LCM of 802,1859 is 1490918.
The greatest common factor of 7795/802,6408/1859 = [GCF of 7795,6408]/[LCM of 802,1859]= 1/1490918
Therefore, the GCF of 7795/802,6408/1859 is 1/1490918.
To find the highest common factor of 7795,6408, we have to find the factors of both numbers and list the highest common factor.
The factors of 7795 are 1, 5, 1559, 7795
The factors of 6408 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 89, 178, 267, 356, 534, 712, 801, 1068, 1602, 2136, 3204, 6408
The HCF of 7795,6408 is 1.
Lets's calculate GCF of 7795,6408
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7795,6408 By Matching Biggest Common Factor Method
Now, list down the factors of 7795
:1,5,1559,7795
Now, list down the factors of 6408
:1,2,3,4,6,8,9,12,18,24,36,72,89,178,267,356,534,712,801,1068,1602,2136,3204,6408
Greatest Common Factor
We found the factors 7795,6408 . The biggest common factor number is the GCF number.
So the greatest common factor 7795,6408 is 1.
Lets's calculate LCM of 802,1859
Given numbers has no common factors except 1. So, there LCM is their product i.e 1490918
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1490918
Therefore, the GCF of Fractions 7795/802,6408/1859 is 1/1490918
Least Common Multiple of 802,1859 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 802,1859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,1859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(802,1859) x common factors =1 x 1 = 1
LCM(802,1859) = ( 802 × 1859 ) / 1
LCM(802,1859) = 1490918 / 1
LCM(802,1859) = 1490918
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FAQs on GCF of Fractions of 7795/802, 6408/1859
1. What is the HCF of 7795,6408?
The HCF of 7795,6408 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 7795/802, 6408/1859?
Answer: GCF of Numerators as per given numbers 7795/802, 6408/1859 is
GCF of Numerators i.e. for 7795,6408 is 1
LCM of denominators i.e. for 802,1859 is 1490918.
Thus, GCF of Fractions is 1/1490918.Finally, GCF of Fractions for 7795/802, 6408/1859 is 1/1490918.