GCF of 9176/380, 4960/5871
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9176/380, 4960/5871 i.e 248/117420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9176/380, 4960/5871.
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 9176/380,4960/5871?
Given fractions are 9176/380,4960/5871
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 9176/380,4960/5871, numerators are 9176,4960
Denominators are 380,5871
The GCF of 9176,4960 is 248 .
LCM of 380,5871 is 117420.
The greatest common factor of 9176/380,4960/5871 = [GCF of 9176,4960]/[LCM of 380,5871]= 248/117420
Therefore, the GCF of 9176/380,4960/5871 is 248/117420.
To find the highest common factor of 9176,4960, we have to find the factors of both numbers and list the highest common factor.
The factors of 9176 are 1, 2, 4, 8, 31, 37, 62, 74, 124, 148, 248, 296, 1147, 2294, 4588, 9176
The factors of 4960 are 1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 80, 124, 155, 160, 248, 310, 496, 620, 992, 1240, 2480, 4960
The HCF of 9176,4960 is 248.
Lets's calculate GCF of 9176,4960
| 2 | 9176, 4960 |
| 2 | 4588, 2480 |
| 2 | 2294, 1240 |
| 31 | 1147, 620 |
| 37, 20 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 31 = 248
Greatest Common Factor of 9176,4960 By Matching Biggest Common Factor Method
Now, list down the factors of 9176
:1,2,4,8,31,37,62,74,124,148,248,296,1147,2294,4588,9176
Now, list down the factors of 4960
:1,2,4,5,8,10,16,20,31,32,40,62,80,124,155,160,248,310,496,620,992,1240,2480,4960
Greatest Common Factor
We found the factors 9176,4960 . The biggest common factor number is the GCF number.
So the greatest common factor 9176,4960 is 248.
Lets's calculate LCM of 380,5871
| 19 | 380, 5871 |
| 20, 309 |
∴ So the LCM of the given numbers is 19 x 20 x 309 = 117420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 248/117420
Therefore, the GCF of Fractions 9176/380,4960/5871 is 248/117420
Least Common Multiple of 380,5871 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 380,5871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(380,5871) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(380,5871) x common factors =19 x 1 = 19
LCM(380,5871) = ( 380 × 5871 ) / 19
LCM(380,5871) = 2230980 / 19
LCM(380,5871) = 117420
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FAQs on GCF of Fractions of 9176/380, 4960/5871
1. What is the HCF of 9176,4960?
The HCF of 9176,4960 is 248
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 9176/380, 4960/5871?
Answer: GCF of Numerators as per given numbers 9176/380, 4960/5871 is
GCF of Numerators i.e. for 9176,4960 is 248
LCM of denominators i.e. for 380,5871 is 117420.
Thus, GCF of Fractions is 248/117420.Finally, GCF of Fractions for 9176/380, 4960/5871 is 248/117420.