GCF of 948/414, 9176/880
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 948/414, 9176/880 i.e 4/182160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 948/414, 9176/880.
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 948/414,9176/880?
Given fractions are 948/414,9176/880
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 948/414,9176/880, numerators are 948,9176
Denominators are 414,880
The GCF of 948,9176 is 4 .
LCM of 414,880 is 182160.
The greatest common factor of 948/414,9176/880 = [GCF of 948,9176]/[LCM of 414,880]= 4/182160
Therefore, the GCF of 948/414,9176/880 is 4/182160.
To find the highest common factor of 948,9176, we have to find the factors of both numbers and list the highest common factor.
The factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
The factors of 9176 are 1, 2, 4, 8, 31, 37, 62, 74, 124, 148, 248, 296, 1147, 2294, 4588, 9176
The HCF of 948,9176 is 4.
Lets's calculate GCF of 948,9176
| 2 | 948, 9176 |
| 2 | 474, 4588 |
| 237, 2294 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 948,9176 By Matching Biggest Common Factor Method
Now, list down the factors of 948
:1,2,3,4,6,12,79,158,237,316,474,948
Now, list down the factors of 9176
:1,2,4,8,31,37,62,74,124,148,248,296,1147,2294,4588,9176
Greatest Common Factor
We found the factors 948,9176 . The biggest common factor number is the GCF number.
So the greatest common factor 948,9176 is 4.
Lets's calculate LCM of 414,880
| 2 | 414, 880 |
| 207, 440 |
∴ So the LCM of the given numbers is 2 x 207 x 440 = 182160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/182160
Therefore, the GCF of Fractions 948/414,9176/880 is 4/182160
Least Common Multiple of 414,880 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 414,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,880) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(414,880) x common factors =2 x 1 = 2
LCM(414,880) = ( 414 × 880 ) / 2
LCM(414,880) = 364320 / 2
LCM(414,880) = 182160
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FAQs on GCF of Fractions of 948/414, 9176/880
1. What is the HCF of 948,9176?
The HCF of 948,9176 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 948/414, 9176/880?
Answer: GCF of Numerators as per given numbers 948/414, 9176/880 is
GCF of Numerators i.e. for 948,9176 is 4
LCM of denominators i.e. for 414,880 is 182160.
Thus, GCF of Fractions is 4/182160.Finally, GCF of Fractions for 948/414, 9176/880 is 4/182160.