GCF of 8972/228, 4914/1176
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8972/228, 4914/1176 i.e 2/22344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8972/228, 4914/1176.
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 8972/228,4914/1176?
Given fractions are 8972/228,4914/1176
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 8972/228,4914/1176, numerators are 8972,4914
Denominators are 228,1176
The GCF of 8972,4914 is 2 .
LCM of 228,1176 is 22344.
The greatest common factor of 8972/228,4914/1176 = [GCF of 8972,4914]/[LCM of 228,1176]= 2/22344
Therefore, the GCF of 8972/228,4914/1176 is 2/22344.
To find the highest common factor of 8972,4914, we have to find the factors of both numbers and list the highest common factor.
The factors of 8972 are 1, 2, 4, 2243, 4486, 8972
The factors of 4914 are 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457, 4914
The HCF of 8972,4914 is 2.
Lets's calculate GCF of 8972,4914
| 2 | 8972, 4914 |
| 4486, 2457 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8972,4914 By Matching Biggest Common Factor Method
Now, list down the factors of 8972
:1,2,4,2243,4486,8972
Now, list down the factors of 4914
:1,2,3,6,7,9,13,14,18,21,26,27,39,42,54,63,78,91,117,126,182,189,234,273,351,378,546,702,819,1638,2457,4914
Greatest Common Factor
We found the factors 8972,4914 . The biggest common factor number is the GCF number.
So the greatest common factor 8972,4914 is 2.
Lets's calculate LCM of 228,1176
| 2 | 228, 1176 |
| 2 | 114, 588 |
| 3 | 57, 294 |
| 19, 98 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 98 = 22344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22344
Therefore, the GCF of Fractions 8972/228,4914/1176 is 2/22344
Least Common Multiple of 228,1176 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 228,1176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,1176) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(228,1176) x common factors =12 x 1 = 12
LCM(228,1176) = ( 228 × 1176 ) / 12
LCM(228,1176) = 268128 / 12
LCM(228,1176) = 22344
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FAQs on GCF of Fractions of 8972/228, 4914/1176
1. What is the HCF of 8972,4914?
The HCF of 8972,4914 is 2
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 8972/228, 4914/1176?
Answer: GCF of Numerators as per given numbers 8972/228, 4914/1176 is
GCF of Numerators i.e. for 8972,4914 is 2
LCM of denominators i.e. for 228,1176 is 22344.
Thus, GCF of Fractions is 2/22344.Finally, GCF of Fractions for 8972/228, 4914/1176 is 2/22344.