GCF of 8410/532, 5464/378
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8410/532, 5464/378 i.e 2/14364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8410/532, 5464/378.
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 8410/532,5464/378?
Given fractions are 8410/532,5464/378
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 8410/532,5464/378, numerators are 8410,5464
Denominators are 532,378
The GCF of 8410,5464 is 2 .
LCM of 532,378 is 14364.
The greatest common factor of 8410/532,5464/378 = [GCF of 8410,5464]/[LCM of 532,378]= 2/14364
Therefore, the GCF of 8410/532,5464/378 is 2/14364.
To find the highest common factor of 8410,5464, we have to find the factors of both numbers and list the highest common factor.
The factors of 8410 are 1, 2, 5, 10, 29, 58, 145, 290, 841, 1682, 4205, 8410
The factors of 5464 are 1, 2, 4, 8, 683, 1366, 2732, 5464
The HCF of 8410,5464 is 2.
Lets's calculate GCF of 8410,5464
| 2 | 8410, 5464 |
| 4205, 2732 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8410,5464 By Matching Biggest Common Factor Method
Now, list down the factors of 8410
:1,2,5,10,29,58,145,290,841,1682,4205,8410
Now, list down the factors of 5464
:1,2,4,8,683,1366,2732,5464
Greatest Common Factor
We found the factors 8410,5464 . The biggest common factor number is the GCF number.
So the greatest common factor 8410,5464 is 2.
Lets's calculate LCM of 532,378
| 2 | 532, 378 |
| 7 | 266, 189 |
| 38, 27 |
∴ So the LCM of the given numbers is 2 x 7 x 38 x 27 = 14364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14364
Therefore, the GCF of Fractions 8410/532,5464/378 is 2/14364
Least Common Multiple of 532,378 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 532,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(532,378) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(532,378) x common factors =14 x 1 = 14
LCM(532,378) = ( 532 × 378 ) / 14
LCM(532,378) = 201096 / 14
LCM(532,378) = 14364
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FAQs on GCF of Fractions of 8410/532, 5464/378
1. What is the HCF of 8410,5464?
The HCF of 8410,5464 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 8410/532, 5464/378?
Answer: GCF of Numerators as per given numbers 8410/532, 5464/378 is
GCF of Numerators i.e. for 8410,5464 is 2
LCM of denominators i.e. for 532,378 is 14364.
Thus, GCF of Fractions is 2/14364.Finally, GCF of Fractions for 8410/532, 5464/378 is 2/14364.