GCF of 4039/945, 7602/6220
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4039/945, 7602/6220 i.e 7/1175580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4039/945, 7602/6220.
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 4039/945,7602/6220?
Given fractions are 4039/945,7602/6220
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 4039/945,7602/6220, numerators are 4039,7602
Denominators are 945,6220
The GCF of 4039,7602 is 7 .
LCM of 945,6220 is 1175580.
The greatest common factor of 4039/945,7602/6220 = [GCF of 4039,7602]/[LCM of 945,6220]= 7/1175580
Therefore, the GCF of 4039/945,7602/6220 is 7/1175580.
To find the highest common factor of 4039,7602, we have to find the factors of both numbers and list the highest common factor.
The factors of 4039 are 1, 7, 577, 4039
The factors of 7602 are 1, 2, 3, 6, 7, 14, 21, 42, 181, 362, 543, 1086, 1267, 2534, 3801, 7602
The HCF of 4039,7602 is 7.
Lets's calculate GCF of 4039,7602
| 7 | 4039, 7602 |
| 577, 1086 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 4039,7602 By Matching Biggest Common Factor Method
Now, list down the factors of 4039
:1,7,577,4039
Now, list down the factors of 7602
:1,2,3,6,7,14,21,42,181,362,543,1086,1267,2534,3801,7602
Greatest Common Factor
We found the factors 4039,7602 . The biggest common factor number is the GCF number.
So the greatest common factor 4039,7602 is 7.
Lets's calculate LCM of 945,6220
| 5 | 945, 6220 |
| 189, 1244 |
∴ So the LCM of the given numbers is 5 x 189 x 1244 = 1175580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1175580
Therefore, the GCF of Fractions 4039/945,7602/6220 is 7/1175580
Least Common Multiple of 945,6220 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 945,6220 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(945,6220) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(945,6220) x common factors =5 x 1 = 5
LCM(945,6220) = ( 945 × 6220 ) / 5
LCM(945,6220) = 5877900 / 5
LCM(945,6220) = 1175580
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FAQs on GCF of Fractions of 4039/945, 7602/6220
1. What is the HCF of 4039,7602?
The HCF of 4039,7602 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 4039/945, 7602/6220?
Answer: GCF of Numerators as per given numbers 4039/945, 7602/6220 is
GCF of Numerators i.e. for 4039,7602 is 7
LCM of denominators i.e. for 945,6220 is 1175580.
Thus, GCF of Fractions is 7/1175580.Finally, GCF of Fractions for 4039/945, 7602/6220 is 7/1175580.