GCF of 5248/105, 6027/8465
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5248/105, 6027/8465 i.e 41/177765 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5248/105, 6027/8465.
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 5248/105,6027/8465?
Given fractions are 5248/105,6027/8465
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 5248/105,6027/8465, numerators are 5248,6027
Denominators are 105,8465
The GCF of 5248,6027 is 41 .
LCM of 105,8465 is 177765.
The greatest common factor of 5248/105,6027/8465 = [GCF of 5248,6027]/[LCM of 105,8465]= 41/177765
Therefore, the GCF of 5248/105,6027/8465 is 41/177765.
To find the highest common factor of 5248,6027, we have to find the factors of both numbers and list the highest common factor.
The factors of 5248 are 1, 2, 4, 8, 16, 32, 41, 64, 82, 128, 164, 328, 656, 1312, 2624, 5248
The factors of 6027 are 1, 3, 7, 21, 41, 49, 123, 147, 287, 861, 2009, 6027
The HCF of 5248,6027 is 41.
Lets's calculate GCF of 5248,6027
| 41 | 5248, 6027 |
| 128, 147 |
∴ So the GCF of the given numbers is 41 = 41
Greatest Common Factor of 5248,6027 By Matching Biggest Common Factor Method
Now, list down the factors of 5248
:1,2,4,8,16,32,41,64,82,128,164,328,656,1312,2624,5248
Now, list down the factors of 6027
:1,3,7,21,41,49,123,147,287,861,2009,6027
Greatest Common Factor
We found the factors 5248,6027 . The biggest common factor number is the GCF number.
So the greatest common factor 5248,6027 is 41.
Lets's calculate LCM of 105,8465
| 5 | 105, 8465 |
| 21, 1693 |
∴ So the LCM of the given numbers is 5 x 21 x 1693 = 177765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/177765
Therefore, the GCF of Fractions 5248/105,6027/8465 is 41/177765
Least Common Multiple of 105,8465 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 105,8465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,8465) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(105,8465) x common factors =5 x 1 = 5
LCM(105,8465) = ( 105 × 8465 ) / 5
LCM(105,8465) = 888825 / 5
LCM(105,8465) = 177765
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FAQs on GCF of Fractions of 5248/105, 6027/8465
1. What is the HCF of 5248,6027?
The HCF of 5248,6027 is 41
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 5248/105, 6027/8465?
Answer: GCF of Numerators as per given numbers 5248/105, 6027/8465 is
GCF of Numerators i.e. for 5248,6027 is 41
LCM of denominators i.e. for 105,8465 is 177765.
Thus, GCF of Fractions is 41/177765.Finally, GCF of Fractions for 5248/105, 6027/8465 is 41/177765.