GCF of 9464/616, 4284/7581
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9464/616, 4284/7581 i.e 28/667128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9464/616, 4284/7581.
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 9464/616,4284/7581?
Given fractions are 9464/616,4284/7581
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 9464/616,4284/7581, numerators are 9464,4284
Denominators are 616,7581
The GCF of 9464,4284 is 28 .
LCM of 616,7581 is 667128.
The greatest common factor of 9464/616,4284/7581 = [GCF of 9464,4284]/[LCM of 616,7581]= 28/667128
Therefore, the GCF of 9464/616,4284/7581 is 28/667128.
To find the highest common factor of 9464,4284, we have to find the factors of both numbers and list the highest common factor.
The factors of 9464 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 169, 182, 338, 364, 676, 728, 1183, 1352, 2366, 4732, 9464
The factors of 4284 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 17, 18, 21, 28, 34, 36, 42, 51, 63, 68, 84, 102, 119, 126, 153, 204, 238, 252, 306, 357, 476, 612, 714, 1071, 1428, 2142, 4284
The HCF of 9464,4284 is 28.
Lets's calculate GCF of 9464,4284
| 2 | 9464, 4284 |
| 2 | 4732, 2142 |
| 7 | 2366, 1071 |
| 338, 153 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 9464,4284 By Matching Biggest Common Factor Method
Now, list down the factors of 9464
:1,2,4,7,8,13,14,26,28,52,56,91,104,169,182,338,364,676,728,1183,1352,2366,4732,9464
Now, list down the factors of 4284
:1,2,3,4,6,7,9,12,14,17,18,21,28,34,36,42,51,63,68,84,102,119,126,153,204,238,252,306,357,476,612,714,1071,1428,2142,4284
Greatest Common Factor
We found the factors 9464,4284 . The biggest common factor number is the GCF number.
So the greatest common factor 9464,4284 is 28.
Lets's calculate LCM of 616,7581
| 7 | 616, 7581 |
| 88, 1083 |
∴ So the LCM of the given numbers is 7 x 88 x 1083 = 667128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/667128
Therefore, the GCF of Fractions 9464/616,4284/7581 is 28/667128
Least Common Multiple of 616,7581 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 616,7581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,7581) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(616,7581) x common factors =7 x 1 = 7
LCM(616,7581) = ( 616 × 7581 ) / 7
LCM(616,7581) = 4669896 / 7
LCM(616,7581) = 667128
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 9464/616, 4284/7581
1. What is the HCF of 9464,4284?
The HCF of 9464,4284 is 28
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 9464/616, 4284/7581?
Answer: GCF of Numerators as per given numbers 9464/616, 4284/7581 is
GCF of Numerators i.e. for 9464,4284 is 28
LCM of denominators i.e. for 616,7581 is 667128.
Thus, GCF of Fractions is 28/667128.Finally, GCF of Fractions for 9464/616, 4284/7581 is 28/667128.