GCF of 5320/578, 3627/7138
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5320/578, 3627/7138 i.e 1/2062882 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5320/578, 3627/7138.
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 5320/578,3627/7138?
Given fractions are 5320/578,3627/7138
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 5320/578,3627/7138, numerators are 5320,3627
Denominators are 578,7138
The GCF of 5320,3627 is 1 .
LCM of 578,7138 is 2062882.
The greatest common factor of 5320/578,3627/7138 = [GCF of 5320,3627]/[LCM of 578,7138]= 1/2062882
Therefore, the GCF of 5320/578,3627/7138 is 1/2062882.
To find the highest common factor of 5320,3627, we have to find the factors of both numbers and list the highest common factor.
The factors of 5320 are 1, 2, 4, 5, 7, 8, 10, 14, 19, 20, 28, 35, 38, 40, 56, 70, 76, 95, 133, 140, 152, 190, 266, 280, 380, 532, 665, 760, 1064, 1330, 2660, 5320
The factors of 3627 are 1, 3, 9, 13, 31, 39, 93, 117, 279, 403, 1209, 3627
The HCF of 5320,3627 is 1.
Lets's calculate GCF of 5320,3627
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5320,3627 By Matching Biggest Common Factor Method
Now, list down the factors of 5320
:1,2,4,5,7,8,10,14,19,20,28,35,38,40,56,70,76,95,133,140,152,190,266,280,380,532,665,760,1064,1330,2660,5320
Now, list down the factors of 3627
:1,3,9,13,31,39,93,117,279,403,1209,3627
Greatest Common Factor
We found the factors 5320,3627 . The biggest common factor number is the GCF number.
So the greatest common factor 5320,3627 is 1.
Lets's calculate LCM of 578,7138
| 2 | 578, 7138 |
| 289, 3569 |
∴ So the LCM of the given numbers is 2 x 289 x 3569 = 2062882
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2062882
Therefore, the GCF of Fractions 5320/578,3627/7138 is 1/2062882
Least Common Multiple of 578,7138 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 578,7138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,7138) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(578,7138) x common factors =2 x 1 = 2
LCM(578,7138) = ( 578 × 7138 ) / 2
LCM(578,7138) = 4125764 / 2
LCM(578,7138) = 2062882
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FAQs on GCF of Fractions of 5320/578, 3627/7138
1. What is the HCF of 5320,3627?
The HCF of 5320,3627 is 1
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 5320/578, 3627/7138?
Answer: GCF of Numerators as per given numbers 5320/578, 3627/7138 is
GCF of Numerators i.e. for 5320,3627 is 1
LCM of denominators i.e. for 578,7138 is 2062882.
Thus, GCF of Fractions is 1/2062882.Finally, GCF of Fractions for 5320/578, 3627/7138 is 1/2062882.