GCF of 1034/860, 1519/706
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1034/860, 1519/706 i.e 1/303580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1034/860, 1519/706.
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 1034/860,1519/706?
Given fractions are 1034/860,1519/706
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 1034/860,1519/706, numerators are 1034,1519
Denominators are 860,706
The GCF of 1034,1519 is 1 .
LCM of 860,706 is 303580.
The greatest common factor of 1034/860,1519/706 = [GCF of 1034,1519]/[LCM of 860,706]= 1/303580
Therefore, the GCF of 1034/860,1519/706 is 1/303580.
To find the highest common factor of 1034,1519, we have to find the factors of both numbers and list the highest common factor.
The factors of 1034 are 1, 2, 11, 22, 47, 94, 517, 1034
The factors of 1519 are 1, 7, 31, 49, 217, 1519
The HCF of 1034,1519 is 1.
Lets's calculate GCF of 1034,1519
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1034,1519 By Matching Biggest Common Factor Method
Now, list down the factors of 1034
:1,2,11,22,47,94,517,1034
Now, list down the factors of 1519
:1,7,31,49,217,1519
Greatest Common Factor
We found the factors 1034,1519 . The biggest common factor number is the GCF number.
So the greatest common factor 1034,1519 is 1.
Lets's calculate LCM of 860,706
| 2 | 860, 706 |
| 430, 353 |
∴ So the LCM of the given numbers is 2 x 430 x 353 = 303580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/303580
Therefore, the GCF of Fractions 1034/860,1519/706 is 1/303580
Least Common Multiple of 860,706 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 860,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(860,706) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(860,706) x common factors =2 x 1 = 2
LCM(860,706) = ( 860 × 706 ) / 2
LCM(860,706) = 607160 / 2
LCM(860,706) = 303580
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FAQs on GCF of Fractions of 1034/860, 1519/706
1. What is the HCF of 1034,1519?
The HCF of 1034,1519 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 1034/860, 1519/706?
Answer: GCF of Numerators as per given numbers 1034/860, 1519/706 is
GCF of Numerators i.e. for 1034,1519 is 1
LCM of denominators i.e. for 860,706 is 303580.
Thus, GCF of Fractions is 1/303580.Finally, GCF of Fractions for 1034/860, 1519/706 is 1/303580.