GCF of 1369/598, 1258/9430
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1369/598, 1258/9430 i.e 37/122590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1369/598, 1258/9430.
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 1369/598,1258/9430?
Given fractions are 1369/598,1258/9430
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 1369/598,1258/9430, numerators are 1369,1258
Denominators are 598,9430
The GCF of 1369,1258 is 37 .
LCM of 598,9430 is 122590.
The greatest common factor of 1369/598,1258/9430 = [GCF of 1369,1258]/[LCM of 598,9430]= 37/122590
Therefore, the GCF of 1369/598,1258/9430 is 37/122590.
To find the highest common factor of 1369,1258, we have to find the factors of both numbers and list the highest common factor.
The factors of 1369 are 1, 37, 1369
The factors of 1258 are 1, 2, 17, 34, 37, 74, 629, 1258
The HCF of 1369,1258 is 37.
Lets's calculate GCF of 1369,1258
| 37 | 1369, 1258 |
| 37, 34 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 1369,1258 By Matching Biggest Common Factor Method
Now, list down the factors of 1369
:1,37,1369
Now, list down the factors of 1258
:1,2,17,34,37,74,629,1258
Greatest Common Factor
We found the factors 1369,1258 . The biggest common factor number is the GCF number.
So the greatest common factor 1369,1258 is 37.
Lets's calculate LCM of 598,9430
| 2 | 598, 9430 |
| 23 | 299, 4715 |
| 13, 205 |
∴ So the LCM of the given numbers is 2 x 23 x 13 x 205 = 122590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/122590
Therefore, the GCF of Fractions 1369/598,1258/9430 is 37/122590
Least Common Multiple of 598,9430 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 598,9430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,9430) = 46
common factors(in case of two or more numbers have common factors) = 1
GCF(598,9430) x common factors =46 x 1 = 46
LCM(598,9430) = ( 598 × 9430 ) / 46
LCM(598,9430) = 5639140 / 46
LCM(598,9430) = 122590
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FAQs on GCF of Fractions of 1369/598, 1258/9430
1. What is the HCF of 1369,1258?
The HCF of 1369,1258 is 37
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 1369/598, 1258/9430?
Answer: GCF of Numerators as per given numbers 1369/598, 1258/9430 is
GCF of Numerators i.e. for 1369,1258 is 37
LCM of denominators i.e. for 598,9430 is 122590.
Thus, GCF of Fractions is 37/122590.Finally, GCF of Fractions for 1369/598, 1258/9430 is 37/122590.