GCF of 959/70, 220/34, 319/41
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 959/70, 220/34, 319/41 i.e 1/48790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 959/70, 220/34, 319/41.
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 959/70,220/34,319/41?
Given fractions are 959/70,220/34,319/41
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 959/70,220/34,319/41, numerators are 959,220,319
Denominators are 70,34,41
The GCF of 959,220,319 is 1 .
LCM of 70,34,41 is 48790.
The greatest common factor of 959/70,220/34,319/41 = [GCF of 959,220,319]/[LCM of 70,34,41]= 1/48790
Therefore, the GCF of 959/70,220/34,319/41 is 1/48790.
To find the highest common factor of 959,220,319, we have to find the factors of both numbers and list the highest common factor.
The factors of 959 are 1, 7, 137, 959
The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
The factors of 319 are 1, 11, 29, 319
The HCF of 959,220,319 is 1.
Lets's calculate GCF of 959,220,319
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 959,220,319 By Matching Biggest Common Factor Method
Now, list down the factors of 959
:1,7,137,959
Now, list down the factors of 220
:1,2,4,5,10,11,20,22,44,55,110,220
Now, list down the factors of 319
:1,11,29,319
Greatest Common Factor
We found the factors 959,220,319 . The biggest common factor number is the GCF number.
So the greatest common factor 959,220,319 is 1.
Lets's calculate LCM of 70,34,41
| 2 | 70, 34, 41 |
| 35, 17, 41 |
∴ So the LCM of the given numbers is 2 x 35 x 17 x 41 = 48790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48790
Therefore, the GCF of Fractions 959/70,220/34,319/41 is 1/48790
Least Common Multiple of 70,34,41 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 70,34,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,34,41) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(70,34,41) x common factors =1 x 2 = 2
LCM(70,34,41) = ( 70 × 34 × 41 ) / 2
LCM(70,34,41) = 97580 / 2
LCM(70,34,41) = 48790
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FAQs on GCF of Fractions of 959/70, 220/34, 319/41
1. What is the HCF of 959,220,319?
The HCF of 959,220,319 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 959/70, 220/34, 319/41?
Answer: GCF of Numerators as per given numbers 959/70, 220/34, 319/41 is
GCF of Numerators i.e. for 959,220,319 is 1
LCM of denominators i.e. for 70,34,41 is 48790.
Thus, GCF of Fractions is 1/48790.Finally, GCF of Fractions for 959/70, 220/34, 319/41 is 1/48790.