GCF of 4692/752, 7041/367
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4692/752, 7041/367 i.e 3/275984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4692/752, 7041/367.
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 4692/752,7041/367?
Given fractions are 4692/752,7041/367
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 4692/752,7041/367, numerators are 4692,7041
Denominators are 752,367
The GCF of 4692,7041 is 3 .
LCM of 752,367 is 275984.
The greatest common factor of 4692/752,7041/367 = [GCF of 4692,7041]/[LCM of 752,367]= 3/275984
Therefore, the GCF of 4692/752,7041/367 is 3/275984.
To find the highest common factor of 4692,7041, we have to find the factors of both numbers and list the highest common factor.
The factors of 4692 are 1, 2, 3, 4, 6, 12, 17, 23, 34, 46, 51, 68, 69, 92, 102, 138, 204, 276, 391, 782, 1173, 1564, 2346, 4692
The factors of 7041 are 1, 3, 2347, 7041
The HCF of 4692,7041 is 3.
Lets's calculate GCF of 4692,7041
| 3 | 4692, 7041 |
| 1564, 2347 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4692,7041 By Matching Biggest Common Factor Method
Now, list down the factors of 4692
:1,2,3,4,6,12,17,23,34,46,51,68,69,92,102,138,204,276,391,782,1173,1564,2346,4692
Now, list down the factors of 7041
:1,3,2347,7041
Greatest Common Factor
We found the factors 4692,7041 . The biggest common factor number is the GCF number.
So the greatest common factor 4692,7041 is 3.
Lets's calculate LCM of 752,367
Given numbers has no common factors except 1. So, there LCM is their product i.e 275984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/275984
Therefore, the GCF of Fractions 4692/752,7041/367 is 3/275984
Least Common Multiple of 752,367 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 752,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(752,367) x common factors =1 x 1 = 1
LCM(752,367) = ( 752 × 367 ) / 1
LCM(752,367) = 275984 / 1
LCM(752,367) = 275984
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FAQs on GCF of Fractions of 4692/752, 7041/367
1. What is the HCF of 4692,7041?
The HCF of 4692,7041 is 3
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 4692/752, 7041/367?
Answer: GCF of Numerators as per given numbers 4692/752, 7041/367 is
GCF of Numerators i.e. for 4692,7041 is 3
LCM of denominators i.e. for 752,367 is 275984.
Thus, GCF of Fractions is 3/275984.Finally, GCF of Fractions for 4692/752, 7041/367 is 3/275984.