GCF of 7282/966, 8428/1363
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7282/966, 8428/1363 i.e 2/1316658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7282/966, 8428/1363.
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 7282/966,8428/1363?
Given fractions are 7282/966,8428/1363
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 7282/966,8428/1363, numerators are 7282,8428
Denominators are 966,1363
The GCF of 7282,8428 is 2 .
LCM of 966,1363 is 1316658.
The greatest common factor of 7282/966,8428/1363 = [GCF of 7282,8428]/[LCM of 966,1363]= 2/1316658
Therefore, the GCF of 7282/966,8428/1363 is 2/1316658.
To find the highest common factor of 7282,8428, 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 8428 are 1, 2, 4, 7, 14, 28, 43, 49, 86, 98, 172, 196, 301, 602, 1204, 2107, 4214, 8428
The HCF of 7282,8428 is 2.
Lets's calculate GCF of 7282,8428
| 2 | 7282, 8428 |
| 3641, 4214 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7282,8428 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 8428
:1,2,4,7,14,28,43,49,86,98,172,196,301,602,1204,2107,4214,8428
Greatest Common Factor
We found the factors 7282,8428 . The biggest common factor number is the GCF number.
So the greatest common factor 7282,8428 is 2.
Lets's calculate LCM of 966,1363
Given numbers has no common factors except 1. So, there LCM is their product i.e 1316658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1316658
Therefore, the GCF of Fractions 7282/966,8428/1363 is 2/1316658
Least Common Multiple of 966,1363 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 966,1363 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,1363) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(966,1363) x common factors =1 x 1 = 1
LCM(966,1363) = ( 966 × 1363 ) / 1
LCM(966,1363) = 1316658 / 1
LCM(966,1363) = 1316658
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FAQs on GCF of Fractions of 7282/966, 8428/1363
1. What is the HCF of 7282,8428?
The HCF of 7282,8428 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 7282/966, 8428/1363?
Answer: GCF of Numerators as per given numbers 7282/966, 8428/1363 is
GCF of Numerators i.e. for 7282,8428 is 2
LCM of denominators i.e. for 966,1363 is 1316658.
Thus, GCF of Fractions is 2/1316658.Finally, GCF of Fractions for 7282/966, 8428/1363 is 2/1316658.