GCF of 290/44, 697/7130
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 290/44, 697/7130 i.e 1/156860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 290/44, 697/7130.
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 290/44,697/7130?
Given fractions are 290/44,697/7130
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 290/44,697/7130, numerators are 290,697
Denominators are 44,7130
The GCF of 290,697 is 1 .
LCM of 44,7130 is 156860.
The greatest common factor of 290/44,697/7130 = [GCF of 290,697]/[LCM of 44,7130]= 1/156860
Therefore, the GCF of 290/44,697/7130 is 1/156860.
To find the highest common factor of 290,697, we have to find the factors of both numbers and list the highest common factor.
The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290
The factors of 697 are 1, 17, 41, 697
The HCF of 290,697 is 1.
Lets's calculate GCF of 290,697
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 290,697 By Matching Biggest Common Factor Method
Now, list down the factors of 290
:1,2,5,10,29,58,145,290
Now, list down the factors of 697
:1,17,41,697
Greatest Common Factor
We found the factors 290,697 . The biggest common factor number is the GCF number.
So the greatest common factor 290,697 is 1.
Lets's calculate LCM of 44,7130
| 2 | 44, 7130 |
| 22, 3565 |
∴ So the LCM of the given numbers is 2 x 22 x 3565 = 156860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156860
Therefore, the GCF of Fractions 290/44,697/7130 is 1/156860
Least Common Multiple of 44,7130 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 44,7130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,7130) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(44,7130) x common factors =2 x 1 = 2
LCM(44,7130) = ( 44 × 7130 ) / 2
LCM(44,7130) = 313720 / 2
LCM(44,7130) = 156860
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FAQs on GCF of Fractions of 290/44, 697/7130
1. What is the HCF of 290,697?
The HCF of 290,697 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 290/44, 697/7130?
Answer: GCF of Numerators as per given numbers 290/44, 697/7130 is
GCF of Numerators i.e. for 290,697 is 1
LCM of denominators i.e. for 44,7130 is 156860.
Thus, GCF of Fractions is 1/156860.Finally, GCF of Fractions for 290/44, 697/7130 is 1/156860.