GCF of 5368/525, 3136/7208
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5368/525, 3136/7208 i.e 8/3784200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5368/525, 3136/7208.
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 5368/525,3136/7208?
Given fractions are 5368/525,3136/7208
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 5368/525,3136/7208, numerators are 5368,3136
Denominators are 525,7208
The GCF of 5368,3136 is 8 .
LCM of 525,7208 is 3784200.
The greatest common factor of 5368/525,3136/7208 = [GCF of 5368,3136]/[LCM of 525,7208]= 8/3784200
Therefore, the GCF of 5368/525,3136/7208 is 8/3784200.
To find the highest common factor of 5368,3136, we have to find the factors of both numbers and list the highest common factor.
The factors of 5368 are 1, 2, 4, 8, 11, 22, 44, 61, 88, 122, 244, 488, 671, 1342, 2684, 5368
The factors of 3136 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 196, 224, 392, 448, 784, 1568, 3136
The HCF of 5368,3136 is 8.
Lets's calculate GCF of 5368,3136
| 2 | 5368, 3136 |
| 2 | 2684, 1568 |
| 2 | 1342, 784 |
| 671, 392 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 5368,3136 By Matching Biggest Common Factor Method
Now, list down the factors of 5368
:1,2,4,8,11,22,44,61,88,122,244,488,671,1342,2684,5368
Now, list down the factors of 3136
:1,2,4,7,8,14,16,28,32,49,56,64,98,112,196,224,392,448,784,1568,3136
Greatest Common Factor
We found the factors 5368,3136 . The biggest common factor number is the GCF number.
So the greatest common factor 5368,3136 is 8.
Lets's calculate LCM of 525,7208
Given numbers has no common factors except 1. So, there LCM is their product i.e 3784200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/3784200
Therefore, the GCF of Fractions 5368/525,3136/7208 is 8/3784200
Least Common Multiple of 525,7208 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 525,7208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(525,7208) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(525,7208) x common factors =1 x 1 = 1
LCM(525,7208) = ( 525 × 7208 ) / 1
LCM(525,7208) = 3784200 / 1
LCM(525,7208) = 3784200
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FAQs on GCF of Fractions of 5368/525, 3136/7208
1. What is the HCF of 5368,3136?
The HCF of 5368,3136 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 5368/525, 3136/7208?
Answer: GCF of Numerators as per given numbers 5368/525, 3136/7208 is
GCF of Numerators i.e. for 5368,3136 is 8
LCM of denominators i.e. for 525,7208 is 3784200.
Thus, GCF of Fractions is 8/3784200.Finally, GCF of Fractions for 5368/525, 3136/7208 is 8/3784200.