GCF of 9648/278, 3688/6105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9648/278, 3688/6105 i.e 8/1697190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9648/278, 3688/6105.
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 9648/278,3688/6105?
Given fractions are 9648/278,3688/6105
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 9648/278,3688/6105, numerators are 9648,3688
Denominators are 278,6105
The GCF of 9648,3688 is 8 .
LCM of 278,6105 is 1697190.
The greatest common factor of 9648/278,3688/6105 = [GCF of 9648,3688]/[LCM of 278,6105]= 8/1697190
Therefore, the GCF of 9648/278,3688/6105 is 8/1697190.
To find the highest common factor of 9648,3688, we have to find the factors of both numbers and list the highest common factor.
The factors of 9648 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 67, 72, 134, 144, 201, 268, 402, 536, 603, 804, 1072, 1206, 1608, 2412, 3216, 4824, 9648
The factors of 3688 are 1, 2, 4, 8, 461, 922, 1844, 3688
The HCF of 9648,3688 is 8.
Lets's calculate GCF of 9648,3688
| 2 | 9648, 3688 |
| 2 | 4824, 1844 |
| 2 | 2412, 922 |
| 1206, 461 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 9648,3688 By Matching Biggest Common Factor Method
Now, list down the factors of 9648
:1,2,3,4,6,8,9,12,16,18,24,36,48,67,72,134,144,201,268,402,536,603,804,1072,1206,1608,2412,3216,4824,9648
Now, list down the factors of 3688
:1,2,4,8,461,922,1844,3688
Greatest Common Factor
We found the factors 9648,3688 . The biggest common factor number is the GCF number.
So the greatest common factor 9648,3688 is 8.
Lets's calculate LCM of 278,6105
Given numbers has no common factors except 1. So, there LCM is their product i.e 1697190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1697190
Therefore, the GCF of Fractions 9648/278,3688/6105 is 8/1697190
Least Common Multiple of 278,6105 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 278,6105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,6105) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(278,6105) x common factors =1 x 1 = 1
LCM(278,6105) = ( 278 × 6105 ) / 1
LCM(278,6105) = 1697190 / 1
LCM(278,6105) = 1697190
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FAQs on GCF of Fractions of 9648/278, 3688/6105
1. What is the HCF of 9648,3688?
The HCF of 9648,3688 is 8
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 9648/278, 3688/6105?
Answer: GCF of Numerators as per given numbers 9648/278, 3688/6105 is
GCF of Numerators i.e. for 9648,3688 is 8
LCM of denominators i.e. for 278,6105 is 1697190.
Thus, GCF of Fractions is 8/1697190.Finally, GCF of Fractions for 9648/278, 3688/6105 is 8/1697190.