GCF of 8364/669, 7380/7946
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8364/669, 7380/7946 i.e 492/5315874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8364/669, 7380/7946.
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 8364/669,7380/7946?
Given fractions are 8364/669,7380/7946
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 8364/669,7380/7946, numerators are 8364,7380
Denominators are 669,7946
The GCF of 8364,7380 is 492 .
LCM of 669,7946 is 5315874.
The greatest common factor of 8364/669,7380/7946 = [GCF of 8364,7380]/[LCM of 669,7946]= 492/5315874
Therefore, the GCF of 8364/669,7380/7946 is 492/5315874.
To find the highest common factor of 8364,7380, we have to find the factors of both numbers and list the highest common factor.
The factors of 8364 are 1, 2, 3, 4, 6, 12, 17, 34, 41, 51, 68, 82, 102, 123, 164, 204, 246, 492, 697, 1394, 2091, 2788, 4182, 8364
The factors of 7380 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 41, 45, 60, 82, 90, 123, 164, 180, 205, 246, 369, 410, 492, 615, 738, 820, 1230, 1476, 1845, 2460, 3690, 7380
The HCF of 8364,7380 is 492.
Lets's calculate GCF of 8364,7380
| 2 | 8364, 7380 |
| 2 | 4182, 3690 |
| 3 | 2091, 1845 |
| 41 | 697, 615 |
| 17, 15 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 41 = 492
Greatest Common Factor of 8364,7380 By Matching Biggest Common Factor Method
Now, list down the factors of 8364
:1,2,3,4,6,12,17,34,41,51,68,82,102,123,164,204,246,492,697,1394,2091,2788,4182,8364
Now, list down the factors of 7380
:1,2,3,4,5,6,9,10,12,15,18,20,30,36,41,45,60,82,90,123,164,180,205,246,369,410,492,615,738,820,1230,1476,1845,2460,3690,7380
Greatest Common Factor
We found the factors 8364,7380 . The biggest common factor number is the GCF number.
So the greatest common factor 8364,7380 is 492.
Lets's calculate LCM of 669,7946
Given numbers has no common factors except 1. So, there LCM is their product i.e 5315874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 492/5315874
Therefore, the GCF of Fractions 8364/669,7380/7946 is 492/5315874
Least Common Multiple of 669,7946 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 669,7946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,7946) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(669,7946) x common factors =1 x 1 = 1
LCM(669,7946) = ( 669 × 7946 ) / 1
LCM(669,7946) = 5315874 / 1
LCM(669,7946) = 5315874
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FAQs on GCF of Fractions of 8364/669, 7380/7946
1. What is the HCF of 8364,7380?
The HCF of 8364,7380 is 492
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 8364/669, 7380/7946?
Answer: GCF of Numerators as per given numbers 8364/669, 7380/7946 is
GCF of Numerators i.e. for 8364,7380 is 492
LCM of denominators i.e. for 669,7946 is 5315874.
Thus, GCF of Fractions is 492/5315874.Finally, GCF of Fractions for 8364/669, 7380/7946 is 492/5315874.