GCF of 8034/678, 5532/7421
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8034/678, 5532/7421 i.e 6/5031438 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8034/678, 5532/7421.
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 8034/678,5532/7421?
Given fractions are 8034/678,5532/7421
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 8034/678,5532/7421, numerators are 8034,5532
Denominators are 678,7421
The GCF of 8034,5532 is 6 .
LCM of 678,7421 is 5031438.
The greatest common factor of 8034/678,5532/7421 = [GCF of 8034,5532]/[LCM of 678,7421]= 6/5031438
Therefore, the GCF of 8034/678,5532/7421 is 6/5031438.
To find the highest common factor of 8034,5532, we have to find the factors of both numbers and list the highest common factor.
The factors of 8034 are 1, 2, 3, 6, 13, 26, 39, 78, 103, 206, 309, 618, 1339, 2678, 4017, 8034
The factors of 5532 are 1, 2, 3, 4, 6, 12, 461, 922, 1383, 1844, 2766, 5532
The HCF of 8034,5532 is 6.
Lets's calculate GCF of 8034,5532
| 2 | 8034, 5532 |
| 3 | 4017, 2766 |
| 1339, 922 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8034,5532 By Matching Biggest Common Factor Method
Now, list down the factors of 8034
:1,2,3,6,13,26,39,78,103,206,309,618,1339,2678,4017,8034
Now, list down the factors of 5532
:1,2,3,4,6,12,461,922,1383,1844,2766,5532
Greatest Common Factor
We found the factors 8034,5532 . The biggest common factor number is the GCF number.
So the greatest common factor 8034,5532 is 6.
Lets's calculate LCM of 678,7421
Given numbers has no common factors except 1. So, there LCM is their product i.e 5031438
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/5031438
Therefore, the GCF of Fractions 8034/678,5532/7421 is 6/5031438
Least Common Multiple of 678,7421 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 678,7421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,7421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(678,7421) x common factors =1 x 1 = 1
LCM(678,7421) = ( 678 × 7421 ) / 1
LCM(678,7421) = 5031438 / 1
LCM(678,7421) = 5031438
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FAQs on GCF of Fractions of 8034/678, 5532/7421
1. What is the HCF of 8034,5532?
The HCF of 8034,5532 is 6
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 8034/678, 5532/7421?
Answer: GCF of Numerators as per given numbers 8034/678, 5532/7421 is
GCF of Numerators i.e. for 8034,5532 is 6
LCM of denominators i.e. for 678,7421 is 5031438.
Thus, GCF of Fractions is 6/5031438.Finally, GCF of Fractions for 8034/678, 5532/7421 is 6/5031438.