GCF of 1482/982, 1622/7980
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1482/982, 1622/7980 i.e 2/3918180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1482/982, 1622/7980.
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 1482/982,1622/7980?
Given fractions are 1482/982,1622/7980
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 1482/982,1622/7980, numerators are 1482,1622
Denominators are 982,7980
The GCF of 1482,1622 is 2 .
LCM of 982,7980 is 3918180.
The greatest common factor of 1482/982,1622/7980 = [GCF of 1482,1622]/[LCM of 982,7980]= 2/3918180
Therefore, the GCF of 1482/982,1622/7980 is 2/3918180.
To find the highest common factor of 1482,1622, we have to find the factors of both numbers and list the highest common factor.
The factors of 1482 are 1, 2, 3, 6, 13, 19, 26, 38, 39, 57, 78, 114, 247, 494, 741, 1482
The factors of 1622 are 1, 2, 811, 1622
The HCF of 1482,1622 is 2.
Lets's calculate GCF of 1482,1622
| 2 | 1482, 1622 |
| 741, 811 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1482,1622 By Matching Biggest Common Factor Method
Now, list down the factors of 1482
:1,2,3,6,13,19,26,38,39,57,78,114,247,494,741,1482
Now, list down the factors of 1622
:1,2,811,1622
Greatest Common Factor
We found the factors 1482,1622 . The biggest common factor number is the GCF number.
So the greatest common factor 1482,1622 is 2.
Lets's calculate LCM of 982,7980
| 2 | 982, 7980 |
| 491, 3990 |
∴ So the LCM of the given numbers is 2 x 491 x 3990 = 3918180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3918180
Therefore, the GCF of Fractions 1482/982,1622/7980 is 2/3918180
Least Common Multiple of 982,7980 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 982,7980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,7980) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(982,7980) x common factors =2 x 1 = 2
LCM(982,7980) = ( 982 × 7980 ) / 2
LCM(982,7980) = 7836360 / 2
LCM(982,7980) = 3918180
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FAQs on GCF of Fractions of 1482/982, 1622/7980
1. What is the HCF of 1482,1622?
The HCF of 1482,1622 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 1482/982, 1622/7980?
Answer: GCF of Numerators as per given numbers 1482/982, 1622/7980 is
GCF of Numerators i.e. for 1482,1622 is 2
LCM of denominators i.e. for 982,7980 is 3918180.
Thus, GCF of Fractions is 2/3918180.Finally, GCF of Fractions for 1482/982, 1622/7980 is 2/3918180.