GCF of 720/834, 7614/402
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 720/834, 7614/402 i.e 18/55878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 720/834, 7614/402.
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 720/834,7614/402?
Given fractions are 720/834,7614/402
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 720/834,7614/402, numerators are 720,7614
Denominators are 834,402
The GCF of 720,7614 is 18 .
LCM of 834,402 is 55878.
The greatest common factor of 720/834,7614/402 = [GCF of 720,7614]/[LCM of 834,402]= 18/55878
Therefore, the GCF of 720/834,7614/402 is 18/55878.
To find the highest common factor of 720,7614, we have to find the factors of both numbers and list the highest common factor.
The factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
The factors of 7614 are 1, 2, 3, 6, 9, 18, 27, 47, 54, 81, 94, 141, 162, 282, 423, 846, 1269, 2538, 3807, 7614
The HCF of 720,7614 is 18.
Lets's calculate GCF of 720,7614
| 2 | 720, 7614 |
| 3 | 360, 3807 |
| 3 | 120, 1269 |
| 40, 423 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 720,7614 By Matching Biggest Common Factor Method
Now, list down the factors of 720
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Now, list down the factors of 7614
:1,2,3,6,9,18,27,47,54,81,94,141,162,282,423,846,1269,2538,3807,7614
Greatest Common Factor
We found the factors 720,7614 . The biggest common factor number is the GCF number.
So the greatest common factor 720,7614 is 18.
Lets's calculate LCM of 834,402
| 2 | 834, 402 |
| 3 | 417, 201 |
| 139, 67 |
∴ So the LCM of the given numbers is 2 x 3 x 139 x 67 = 55878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/55878
Therefore, the GCF of Fractions 720/834,7614/402 is 18/55878
Least Common Multiple of 834,402 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 834,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(834,402) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(834,402) x common factors =6 x 1 = 6
LCM(834,402) = ( 834 × 402 ) / 6
LCM(834,402) = 335268 / 6
LCM(834,402) = 55878
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FAQs on GCF of Fractions of 720/834, 7614/402
1. What is the HCF of 720,7614?
The HCF of 720,7614 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 720/834, 7614/402?
Answer: GCF of Numerators as per given numbers 720/834, 7614/402 is
GCF of Numerators i.e. for 720,7614 is 18
LCM of denominators i.e. for 834,402 is 55878.
Thus, GCF of Fractions is 18/55878.Finally, GCF of Fractions for 720/834, 7614/402 is 18/55878.