GCF of 448/24, 624/94, 988/78
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 448/24, 624/94, 988/78 i.e 4/14664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 448/24, 624/94, 988/78.
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 448/24,624/94,988/78?
Given fractions are 448/24,624/94,988/78
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 448/24,624/94,988/78, numerators are 448,624,988
Denominators are 24,94,78
The GCF of 448,624,988 is 4 .
LCM of 24,94,78 is 14664.
The greatest common factor of 448/24,624/94,988/78 = [GCF of 448,624,988]/[LCM of 24,94,78]= 4/14664
Therefore, the GCF of 448/24,624/94,988/78 is 4/14664.
To find the highest common factor of 448,624,988, we have to find the factors of both numbers and list the highest common factor.
The factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
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 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
The HCF of 448,624,988 is 4.
Lets's calculate GCF of 448,624,988
| 2 | 448, 624, 988 |
| 2 | 224, 312, 494 |
| 112, 156, 247 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 448,624,988 By Matching Biggest Common Factor Method
Now, list down the factors of 448
:1,2,4,7,8,14,16,28,32,56,64,112,224,448
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 988
:1,2,4,13,19,26,38,52,76,247,494,988
Greatest Common Factor
We found the factors 448,624,988 . The biggest common factor number is the GCF number.
So the greatest common factor 448,624,988 is 4.
Lets's calculate LCM of 24,94,78
| 2 | 24, 94, 78 |
| 3 | 12, 47, 39 |
| 4, 47, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 4 x 47 x 13 = 14664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/14664
Therefore, the GCF of Fractions 448/24,624/94,988/78 is 4/14664
Least Common Multiple of 24,94,78 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 24,94,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,94,78) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(24,94,78) x common factors =2 x 6 = 12
LCM(24,94,78) = ( 24 × 94 × 78 ) / 12
LCM(24,94,78) = 175968 / 12
LCM(24,94,78) = 14664
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FAQs on GCF of Fractions of 448/24, 624/94, 988/78
1. What is the HCF of 448,624,988?
The HCF of 448,624,988 is 4
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 448/24, 624/94, 988/78?
Answer: GCF of Numerators as per given numbers 448/24, 624/94, 988/78 is
GCF of Numerators i.e. for 448,624,988 is 4
LCM of denominators i.e. for 24,94,78 is 14664.
Thus, GCF of Fractions is 4/14664.Finally, GCF of Fractions for 448/24, 624/94, 988/78 is 4/14664.