GCF of 4165/299, 1967/6765
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4165/299, 1967/6765 i.e 7/2022735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4165/299, 1967/6765.
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 4165/299,1967/6765?
Given fractions are 4165/299,1967/6765
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 4165/299,1967/6765, numerators are 4165,1967
Denominators are 299,6765
The GCF of 4165,1967 is 7 .
LCM of 299,6765 is 2022735.
The greatest common factor of 4165/299,1967/6765 = [GCF of 4165,1967]/[LCM of 299,6765]= 7/2022735
Therefore, the GCF of 4165/299,1967/6765 is 7/2022735.
To find the highest common factor of 4165,1967, we have to find the factors of both numbers and list the highest common factor.
The factors of 4165 are 1, 5, 7, 17, 35, 49, 85, 119, 245, 595, 833, 4165
The factors of 1967 are 1, 7, 281, 1967
The HCF of 4165,1967 is 7.
Lets's calculate GCF of 4165,1967
| 7 | 4165, 1967 |
| 595, 281 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 4165,1967 By Matching Biggest Common Factor Method
Now, list down the factors of 4165
:1,5,7,17,35,49,85,119,245,595,833,4165
Now, list down the factors of 1967
:1,7,281,1967
Greatest Common Factor
We found the factors 4165,1967 . The biggest common factor number is the GCF number.
So the greatest common factor 4165,1967 is 7.
Lets's calculate LCM of 299,6765
Given numbers has no common factors except 1. So, there LCM is their product i.e 2022735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2022735
Therefore, the GCF of Fractions 4165/299,1967/6765 is 7/2022735
Least Common Multiple of 299,6765 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 299,6765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(299,6765) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(299,6765) x common factors =1 x 1 = 1
LCM(299,6765) = ( 299 × 6765 ) / 1
LCM(299,6765) = 2022735 / 1
LCM(299,6765) = 2022735
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FAQs on GCF of Fractions of 4165/299, 1967/6765
1. What is the HCF of 4165,1967?
The HCF of 4165,1967 is 7
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 4165/299, 1967/6765?
Answer: GCF of Numerators as per given numbers 4165/299, 1967/6765 is
GCF of Numerators i.e. for 4165,1967 is 7
LCM of denominators i.e. for 299,6765 is 2022735.
Thus, GCF of Fractions is 7/2022735.Finally, GCF of Fractions for 4165/299, 1967/6765 is 7/2022735.