GCF of 989/42, 756/6284
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 989/42, 756/6284 i.e 1/131964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 989/42, 756/6284.
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 989/42,756/6284?
Given fractions are 989/42,756/6284
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 989/42,756/6284, numerators are 989,756
Denominators are 42,6284
The GCF of 989,756 is 1 .
LCM of 42,6284 is 131964.
The greatest common factor of 989/42,756/6284 = [GCF of 989,756]/[LCM of 42,6284]= 1/131964
Therefore, the GCF of 989/42,756/6284 is 1/131964.
To find the highest common factor of 989,756, we have to find the factors of both numbers and list the highest common factor.
The factors of 989 are 1, 23, 43, 989
The factors of 756 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
The HCF of 989,756 is 1.
Lets's calculate GCF of 989,756
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 989,756 By Matching Biggest Common Factor Method
Now, list down the factors of 989
:1,23,43,989
Now, list down the factors of 756
:1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Greatest Common Factor
We found the factors 989,756 . The biggest common factor number is the GCF number.
So the greatest common factor 989,756 is 1.
Lets's calculate LCM of 42,6284
| 2 | 42, 6284 |
| 21, 3142 |
∴ So the LCM of the given numbers is 2 x 21 x 3142 = 131964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131964
Therefore, the GCF of Fractions 989/42,756/6284 is 1/131964
Least Common Multiple of 42,6284 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 42,6284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,6284) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(42,6284) x common factors =2 x 1 = 2
LCM(42,6284) = ( 42 × 6284 ) / 2
LCM(42,6284) = 263928 / 2
LCM(42,6284) = 131964
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FAQs on GCF of Fractions of 989/42, 756/6284
1. What is the HCF of 989,756?
The HCF of 989,756 is 1
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 989/42, 756/6284?
Answer: GCF of Numerators as per given numbers 989/42, 756/6284 is
GCF of Numerators i.e. for 989,756 is 1
LCM of denominators i.e. for 42,6284 is 131964.
Thus, GCF of Fractions is 1/131964.Finally, GCF of Fractions for 989/42, 756/6284 is 1/131964.