GCF of 6955/318, 1804/7816
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6955/318, 1804/7816 i.e 1/1242744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6955/318, 1804/7816.
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 6955/318,1804/7816?
Given fractions are 6955/318,1804/7816
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 6955/318,1804/7816, numerators are 6955,1804
Denominators are 318,7816
The GCF of 6955,1804 is 1 .
LCM of 318,7816 is 1242744.
The greatest common factor of 6955/318,1804/7816 = [GCF of 6955,1804]/[LCM of 318,7816]= 1/1242744
Therefore, the GCF of 6955/318,1804/7816 is 1/1242744.
To find the highest common factor of 6955,1804, we have to find the factors of both numbers and list the highest common factor.
The factors of 6955 are 1, 5, 13, 65, 107, 535, 1391, 6955
The factors of 1804 are 1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902, 1804
The HCF of 6955,1804 is 1.
Lets's calculate GCF of 6955,1804
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6955,1804 By Matching Biggest Common Factor Method
Now, list down the factors of 6955
:1,5,13,65,107,535,1391,6955
Now, list down the factors of 1804
:1,2,4,11,22,41,44,82,164,451,902,1804
Greatest Common Factor
We found the factors 6955,1804 . The biggest common factor number is the GCF number.
So the greatest common factor 6955,1804 is 1.
Lets's calculate LCM of 318,7816
| 2 | 318, 7816 |
| 159, 3908 |
∴ So the LCM of the given numbers is 2 x 159 x 3908 = 1242744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1242744
Therefore, the GCF of Fractions 6955/318,1804/7816 is 1/1242744
Least Common Multiple of 318,7816 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 318,7816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,7816) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(318,7816) x common factors =2 x 1 = 2
LCM(318,7816) = ( 318 × 7816 ) / 2
LCM(318,7816) = 2485488 / 2
LCM(318,7816) = 1242744
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FAQs on GCF of Fractions of 6955/318, 1804/7816
1. What is the HCF of 6955,1804?
The HCF of 6955,1804 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 6955/318, 1804/7816?
Answer: GCF of Numerators as per given numbers 6955/318, 1804/7816 is
GCF of Numerators i.e. for 6955,1804 is 1
LCM of denominators i.e. for 318,7816 is 1242744.
Thus, GCF of Fractions is 1/1242744.Finally, GCF of Fractions for 6955/318, 1804/7816 is 1/1242744.