GCF of 7282/667, 4054/596
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7282/667, 4054/596 i.e 2/397532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7282/667, 4054/596.
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 7282/667,4054/596?
Given fractions are 7282/667,4054/596
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 7282/667,4054/596, numerators are 7282,4054
Denominators are 667,596
The GCF of 7282,4054 is 2 .
LCM of 667,596 is 397532.
The greatest common factor of 7282/667,4054/596 = [GCF of 7282,4054]/[LCM of 667,596]= 2/397532
Therefore, the GCF of 7282/667,4054/596 is 2/397532.
To find the highest common factor of 7282,4054, we have to find the factors of both numbers and list the highest common factor.
The factors of 7282 are 1, 2, 11, 22, 331, 662, 3641, 7282
The factors of 4054 are 1, 2, 2027, 4054
The HCF of 7282,4054 is 2.
Lets's calculate GCF of 7282,4054
| 2 | 7282, 4054 |
| 3641, 2027 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7282,4054 By Matching Biggest Common Factor Method
Now, list down the factors of 7282
:1,2,11,22,331,662,3641,7282
Now, list down the factors of 4054
:1,2,2027,4054
Greatest Common Factor
We found the factors 7282,4054 . The biggest common factor number is the GCF number.
So the greatest common factor 7282,4054 is 2.
Lets's calculate LCM of 667,596
Given numbers has no common factors except 1. So, there LCM is their product i.e 397532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/397532
Therefore, the GCF of Fractions 7282/667,4054/596 is 2/397532
Least Common Multiple of 667,596 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 667,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,596) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,596) x common factors =1 x 1 = 1
LCM(667,596) = ( 667 × 596 ) / 1
LCM(667,596) = 397532 / 1
LCM(667,596) = 397532
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FAQs on GCF of Fractions of 7282/667, 4054/596
1. What is the HCF of 7282,4054?
The HCF of 7282,4054 is 2
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 7282/667, 4054/596?
Answer: GCF of Numerators as per given numbers 7282/667, 4054/596 is
GCF of Numerators i.e. for 7282,4054 is 2
LCM of denominators i.e. for 667,596 is 397532.
Thus, GCF of Fractions is 2/397532.Finally, GCF of Fractions for 7282/667, 4054/596 is 2/397532.