GCF of 598/169, 5984/769
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 598/169, 5984/769 i.e 2/129961 easily. The following is the detailed procedure to determine the greatest common factor of fractions 598/169, 5984/769.
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 598/169,5984/769?
Given fractions are 598/169,5984/769
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 598/169,5984/769, numerators are 598,5984
Denominators are 169,769
The GCF of 598,5984 is 2 .
LCM of 169,769 is 129961.
The greatest common factor of 598/169,5984/769 = [GCF of 598,5984]/[LCM of 169,769]= 2/129961
Therefore, the GCF of 598/169,5984/769 is 2/129961.
To find the highest common factor of 598,5984, we have to find the factors of both numbers and list the highest common factor.
The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598
The factors of 5984 are 1, 2, 4, 8, 11, 16, 17, 22, 32, 34, 44, 68, 88, 136, 176, 187, 272, 352, 374, 544, 748, 1496, 2992, 5984
The HCF of 598,5984 is 2.
Lets's calculate GCF of 598,5984
| 2 | 598, 5984 |
| 299, 2992 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 598,5984 By Matching Biggest Common Factor Method
Now, list down the factors of 598
:1,2,13,23,26,46,299,598
Now, list down the factors of 5984
:1,2,4,8,11,16,17,22,32,34,44,68,88,136,176,187,272,352,374,544,748,1496,2992,5984
Greatest Common Factor
We found the factors 598,5984 . The biggest common factor number is the GCF number.
So the greatest common factor 598,5984 is 2.
Lets's calculate LCM of 169,769
Given numbers has no common factors except 1. So, there LCM is their product i.e 129961
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/129961
Therefore, the GCF of Fractions 598/169,5984/769 is 2/129961
Least Common Multiple of 169,769 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 169,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(169,769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(169,769) x common factors =1 x 1 = 1
LCM(169,769) = ( 169 × 769 ) / 1
LCM(169,769) = 129961 / 1
LCM(169,769) = 129961
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FAQs on GCF of Fractions of 598/169, 5984/769
1. What is the HCF of 598,5984?
The HCF of 598,5984 is 2
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 598/169, 5984/769?
Answer: GCF of Numerators as per given numbers 598/169, 5984/769 is
GCF of Numerators i.e. for 598,5984 is 2
LCM of denominators i.e. for 169,769 is 129961.
Thus, GCF of Fractions is 2/129961.Finally, GCF of Fractions for 598/169, 5984/769 is 2/129961.