GCF of 7482/196, 7754/1033
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7482/196, 7754/1033 i.e 2/202468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7482/196, 7754/1033.
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 7482/196,7754/1033?
Given fractions are 7482/196,7754/1033
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 7482/196,7754/1033, numerators are 7482,7754
Denominators are 196,1033
The GCF of 7482,7754 is 2 .
LCM of 196,1033 is 202468.
The greatest common factor of 7482/196,7754/1033 = [GCF of 7482,7754]/[LCM of 196,1033]= 2/202468
Therefore, the GCF of 7482/196,7754/1033 is 2/202468.
To find the highest common factor of 7482,7754, we have to find the factors of both numbers and list the highest common factor.
The factors of 7482 are 1, 2, 3, 6, 29, 43, 58, 86, 87, 129, 174, 258, 1247, 2494, 3741, 7482
The factors of 7754 are 1, 2, 3877, 7754
The HCF of 7482,7754 is 2.
Lets's calculate GCF of 7482,7754
| 2 | 7482, 7754 |
| 3741, 3877 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7482,7754 By Matching Biggest Common Factor Method
Now, list down the factors of 7482
:1,2,3,6,29,43,58,86,87,129,174,258,1247,2494,3741,7482
Now, list down the factors of 7754
:1,2,3877,7754
Greatest Common Factor
We found the factors 7482,7754 . The biggest common factor number is the GCF number.
So the greatest common factor 7482,7754 is 2.
Lets's calculate LCM of 196,1033
Given numbers has no common factors except 1. So, there LCM is their product i.e 202468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/202468
Therefore, the GCF of Fractions 7482/196,7754/1033 is 2/202468
Least Common Multiple of 196,1033 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 196,1033 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,1033) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(196,1033) x common factors =1 x 1 = 1
LCM(196,1033) = ( 196 × 1033 ) / 1
LCM(196,1033) = 202468 / 1
LCM(196,1033) = 202468
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FAQs on GCF of Fractions of 7482/196, 7754/1033
1. What is the HCF of 7482,7754?
The HCF of 7482,7754 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 7482/196, 7754/1033?
Answer: GCF of Numerators as per given numbers 7482/196, 7754/1033 is
GCF of Numerators i.e. for 7482,7754 is 2
LCM of denominators i.e. for 196,1033 is 202468.
Thus, GCF of Fractions is 2/202468.Finally, GCF of Fractions for 7482/196, 7754/1033 is 2/202468.