GCF of 378/761, 8982/782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 378/761, 8982/782 i.e 18/595102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 378/761, 8982/782.
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 378/761,8982/782?
Given fractions are 378/761,8982/782
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 378/761,8982/782, numerators are 378,8982
Denominators are 761,782
The GCF of 378,8982 is 18 .
LCM of 761,782 is 595102.
The greatest common factor of 378/761,8982/782 = [GCF of 378,8982]/[LCM of 761,782]= 18/595102
Therefore, the GCF of 378/761,8982/782 is 18/595102.
To find the highest common factor of 378,8982, we have to find the factors of both numbers and list the highest common factor.
The factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
The factors of 8982 are 1, 2, 3, 6, 9, 18, 499, 998, 1497, 2994, 4491, 8982
The HCF of 378,8982 is 18.
Lets's calculate GCF of 378,8982
| 2 | 378, 8982 |
| 3 | 189, 4491 |
| 3 | 63, 1497 |
| 21, 499 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 378,8982 By Matching Biggest Common Factor Method
Now, list down the factors of 378
:1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Now, list down the factors of 8982
:1,2,3,6,9,18,499,998,1497,2994,4491,8982
Greatest Common Factor
We found the factors 378,8982 . The biggest common factor number is the GCF number.
So the greatest common factor 378,8982 is 18.
Lets's calculate LCM of 761,782
Given numbers has no common factors except 1. So, there LCM is their product i.e 595102
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/595102
Therefore, the GCF of Fractions 378/761,8982/782 is 18/595102
Least Common Multiple of 761,782 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 761,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(761,782) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(761,782) x common factors =1 x 1 = 1
LCM(761,782) = ( 761 × 782 ) / 1
LCM(761,782) = 595102 / 1
LCM(761,782) = 595102
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FAQs on GCF of Fractions of 378/761, 8982/782
1. What is the HCF of 378,8982?
The HCF of 378,8982 is 18
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 378/761, 8982/782?
Answer: GCF of Numerators as per given numbers 378/761, 8982/782 is
GCF of Numerators i.e. for 378,8982 is 18
LCM of denominators i.e. for 761,782 is 595102.
Thus, GCF of Fractions is 18/595102.Finally, GCF of Fractions for 378/761, 8982/782 is 18/595102.