GCF of 5338/191, 1570/7459
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5338/191, 1570/7459 i.e 314/1424669 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5338/191, 1570/7459.
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 5338/191,1570/7459?
Given fractions are 5338/191,1570/7459
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 5338/191,1570/7459, numerators are 5338,1570
Denominators are 191,7459
The GCF of 5338,1570 is 314 .
LCM of 191,7459 is 1424669.
The greatest common factor of 5338/191,1570/7459 = [GCF of 5338,1570]/[LCM of 191,7459]= 314/1424669
Therefore, the GCF of 5338/191,1570/7459 is 314/1424669.
To find the highest common factor of 5338,1570, we have to find the factors of both numbers and list the highest common factor.
The factors of 5338 are 1, 2, 17, 34, 157, 314, 2669, 5338
The factors of 1570 are 1, 2, 5, 10, 157, 314, 785, 1570
The HCF of 5338,1570 is 314.
Lets's calculate GCF of 5338,1570
| 2 | 5338, 1570 |
| 157 | 2669, 785 |
| 17, 5 |
∴ So the GCF of the given numbers is 2 x 157 = 314
Greatest Common Factor of 5338,1570 By Matching Biggest Common Factor Method
Now, list down the factors of 5338
:1,2,17,34,157,314,2669,5338
Now, list down the factors of 1570
:1,2,5,10,157,314,785,1570
Greatest Common Factor
We found the factors 5338,1570 . The biggest common factor number is the GCF number.
So the greatest common factor 5338,1570 is 314.
Lets's calculate LCM of 191,7459
Given numbers has no common factors except 1. So, there LCM is their product i.e 1424669
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 314/1424669
Therefore, the GCF of Fractions 5338/191,1570/7459 is 314/1424669
Least Common Multiple of 191,7459 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 191,7459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,7459) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(191,7459) x common factors =1 x 1 = 1
LCM(191,7459) = ( 191 × 7459 ) / 1
LCM(191,7459) = 1424669 / 1
LCM(191,7459) = 1424669
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FAQs on GCF of Fractions of 5338/191, 1570/7459
1. What is the HCF of 5338,1570?
The HCF of 5338,1570 is 314
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 5338/191, 1570/7459?
Answer: GCF of Numerators as per given numbers 5338/191, 1570/7459 is
GCF of Numerators i.e. for 5338,1570 is 314
LCM of denominators i.e. for 191,7459 is 1424669.
Thus, GCF of Fractions is 314/1424669.Finally, GCF of Fractions for 5338/191, 1570/7459 is 314/1424669.