GCF of 7804/678, 4101/2065
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7804/678, 4101/2065 i.e 1/1400070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7804/678, 4101/2065.
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 7804/678,4101/2065?
Given fractions are 7804/678,4101/2065
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 7804/678,4101/2065, numerators are 7804,4101
Denominators are 678,2065
The GCF of 7804,4101 is 1 .
LCM of 678,2065 is 1400070.
The greatest common factor of 7804/678,4101/2065 = [GCF of 7804,4101]/[LCM of 678,2065]= 1/1400070
Therefore, the GCF of 7804/678,4101/2065 is 1/1400070.
To find the highest common factor of 7804,4101, we have to find the factors of both numbers and list the highest common factor.
The factors of 7804 are 1, 2, 4, 1951, 3902, 7804
The factors of 4101 are 1, 3, 1367, 4101
The HCF of 7804,4101 is 1.
Lets's calculate GCF of 7804,4101
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7804,4101 By Matching Biggest Common Factor Method
Now, list down the factors of 7804
:1,2,4,1951,3902,7804
Now, list down the factors of 4101
:1,3,1367,4101
Greatest Common Factor
We found the factors 7804,4101 . The biggest common factor number is the GCF number.
So the greatest common factor 7804,4101 is 1.
Lets's calculate LCM of 678,2065
Given numbers has no common factors except 1. So, there LCM is their product i.e 1400070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1400070
Therefore, the GCF of Fractions 7804/678,4101/2065 is 1/1400070
Least Common Multiple of 678,2065 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 678,2065 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,2065) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(678,2065) x common factors =1 x 1 = 1
LCM(678,2065) = ( 678 × 2065 ) / 1
LCM(678,2065) = 1400070 / 1
LCM(678,2065) = 1400070
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FAQs on GCF of Fractions of 7804/678, 4101/2065
1. What is the HCF of 7804,4101?
The HCF of 7804,4101 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 7804/678, 4101/2065?
Answer: GCF of Numerators as per given numbers 7804/678, 4101/2065 is
GCF of Numerators i.e. for 7804,4101 is 1
LCM of denominators i.e. for 678,2065 is 1400070.
Thus, GCF of Fractions is 1/1400070.Finally, GCF of Fractions for 7804/678, 4101/2065 is 1/1400070.