GCF of 984/78, 624/62, 213/92
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 984/78, 624/62, 213/92 i.e 3/111228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 984/78, 624/62, 213/92.
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 984/78,624/62,213/92?
Given fractions are 984/78,624/62,213/92
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 984/78,624/62,213/92, numerators are 984,624,213
Denominators are 78,62,92
The GCF of 984,624,213 is 3 .
LCM of 78,62,92 is 111228.
The greatest common factor of 984/78,624/62,213/92 = [GCF of 984,624,213]/[LCM of 78,62,92]= 3/111228
Therefore, the GCF of 984/78,624/62,213/92 is 3/111228.
To find the highest common factor of 984,624,213, we have to find the factors of both numbers and list the highest common factor.
The factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
The factors of 624 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
The factors of 213 are 1, 3, 71, 213
The HCF of 984,624,213 is 3.
Lets's calculate GCF of 984,624,213
| 3 | 984, 624, 213 |
| 328, 208, 71 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 984,624,213 By Matching Biggest Common Factor Method
Now, list down the factors of 984
:1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Now, list down the factors of 624
:1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Now, list down the factors of 213
:1,3,71,213
Greatest Common Factor
We found the factors 984,624,213 . The biggest common factor number is the GCF number.
So the greatest common factor 984,624,213 is 3.
Lets's calculate LCM of 78,62,92
| 2 | 78, 62, 92 |
| 39, 31, 46 |
∴ So the LCM of the given numbers is 2 x 39 x 31 x 46 = 111228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/111228
Therefore, the GCF of Fractions 984/78,624/62,213/92 is 3/111228
Least Common Multiple of 78,62,92 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 78,62,92 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,62,92) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(78,62,92) x common factors =2 x 2 = 4
LCM(78,62,92) = ( 78 × 62 × 92 ) / 4
LCM(78,62,92) = 444912 / 4
LCM(78,62,92) = 111228
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 984/78, 624/62, 213/92
1. What is the HCF of 984,624,213?
The HCF of 984,624,213 is 3
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 984/78, 624/62, 213/92?
Answer: GCF of Numerators as per given numbers 984/78, 624/62, 213/92 is
GCF of Numerators i.e. for 984,624,213 is 3
LCM of denominators i.e. for 78,62,92 is 111228.
Thus, GCF of Fractions is 3/111228.Finally, GCF of Fractions for 984/78, 624/62, 213/92 is 3/111228.