GCF of 8736/904, 9908/639
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8736/904, 9908/639 i.e 4/577656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8736/904, 9908/639.
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 8736/904,9908/639?
Given fractions are 8736/904,9908/639
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 8736/904,9908/639, numerators are 8736,9908
Denominators are 904,639
The GCF of 8736,9908 is 4 .
LCM of 904,639 is 577656.
The greatest common factor of 8736/904,9908/639 = [GCF of 8736,9908]/[LCM of 904,639]= 4/577656
Therefore, the GCF of 8736/904,9908/639 is 4/577656.
To find the highest common factor of 8736,9908, we have to find the factors of both numbers and list the highest common factor.
The factors of 8736 are 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 32, 39, 42, 48, 52, 56, 78, 84, 91, 96, 104, 112, 156, 168, 182, 208, 224, 273, 312, 336, 364, 416, 546, 624, 672, 728, 1092, 1248, 1456, 2184, 2912, 4368, 8736
The factors of 9908 are 1, 2, 4, 2477, 4954, 9908
The HCF of 8736,9908 is 4.
Lets's calculate GCF of 8736,9908
| 2 | 8736, 9908 |
| 2 | 4368, 4954 |
| 2184, 2477 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8736,9908 By Matching Biggest Common Factor Method
Now, list down the factors of 8736
:1,2,3,4,6,7,8,12,13,14,16,21,24,26,28,32,39,42,48,52,56,78,84,91,96,104,112,156,168,182,208,224,273,312,336,364,416,546,624,672,728,1092,1248,1456,2184,2912,4368,8736
Now, list down the factors of 9908
:1,2,4,2477,4954,9908
Greatest Common Factor
We found the factors 8736,9908 . The biggest common factor number is the GCF number.
So the greatest common factor 8736,9908 is 4.
Lets's calculate LCM of 904,639
Given numbers has no common factors except 1. So, there LCM is their product i.e 577656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/577656
Therefore, the GCF of Fractions 8736/904,9908/639 is 4/577656
Least Common Multiple of 904,639 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 904,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(904,639) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(904,639) x common factors =1 x 1 = 1
LCM(904,639) = ( 904 × 639 ) / 1
LCM(904,639) = 577656 / 1
LCM(904,639) = 577656
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FAQs on GCF of Fractions of 8736/904, 9908/639
1. What is the HCF of 8736,9908?
The HCF of 8736,9908 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 8736/904, 9908/639?
Answer: GCF of Numerators as per given numbers 8736/904, 9908/639 is
GCF of Numerators i.e. for 8736,9908 is 4
LCM of denominators i.e. for 904,639 is 577656.
Thus, GCF of Fractions is 4/577656.Finally, GCF of Fractions for 8736/904, 9908/639 is 4/577656.