GCF of 624/90, 468/345
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 624/90, 468/345 i.e 156/2070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 624/90, 468/345.
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 624/90,468/345?
Given fractions are 624/90,468/345
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 624/90,468/345, numerators are 624,468
Denominators are 90,345
The GCF of 624,468 is 156 .
LCM of 90,345 is 2070.
The greatest common factor of 624/90,468/345 = [GCF of 624,468]/[LCM of 90,345]= 156/2070
Therefore, the GCF of 624/90,468/345 is 156/2070.
To find the highest common factor of 624,468, we have to find the factors of both numbers and list the highest common factor.
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 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
The HCF of 624,468 is 156.
Lets's calculate GCF of 624,468
| 2 | 624, 468 |
| 2 | 312, 234 |
| 3 | 156, 117 |
| 13 | 52, 39 |
| 4, 3 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 13 = 156
Greatest Common Factor of 624,468 By Matching Biggest Common Factor Method
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 468
:1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Greatest Common Factor
We found the factors 624,468 . The biggest common factor number is the GCF number.
So the greatest common factor 624,468 is 156.
Lets's calculate LCM of 90,345
| 3 | 90, 345 |
| 5 | 30, 115 |
| 6, 23 |
∴ So the LCM of the given numbers is 3 x 5 x 6 x 23 = 2070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 156/2070
Therefore, the GCF of Fractions 624/90,468/345 is 156/2070
Least Common Multiple of 90,345 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 90,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,345) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(90,345) x common factors =15 x 1 = 15
LCM(90,345) = ( 90 × 345 ) / 15
LCM(90,345) = 31050 / 15
LCM(90,345) = 2070
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FAQs on GCF of Fractions of 624/90, 468/345
1. What is the HCF of 624,468?
The HCF of 624,468 is 156
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 624/90, 468/345?
Answer: GCF of Numerators as per given numbers 624/90, 468/345 is
GCF of Numerators i.e. for 624,468 is 156
LCM of denominators i.e. for 90,345 is 2070.
Thus, GCF of Fractions is 156/2070.Finally, GCF of Fractions for 624/90, 468/345 is 156/2070.