GCF of 7951/597, 5390/605
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7951/597, 5390/605 i.e 1/361185 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7951/597, 5390/605.
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 7951/597,5390/605?
Given fractions are 7951/597,5390/605
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 7951/597,5390/605, numerators are 7951,5390
Denominators are 597,605
The GCF of 7951,5390 is 1 .
LCM of 597,605 is 361185.
The greatest common factor of 7951/597,5390/605 = [GCF of 7951,5390]/[LCM of 597,605]= 1/361185
Therefore, the GCF of 7951/597,5390/605 is 1/361185.
To find the highest common factor of 7951,5390, we have to find the factors of both numbers and list the highest common factor.
The factors of 7951 are 1, 7951
The factors of 5390 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 49, 55, 70, 77, 98, 110, 154, 245, 385, 490, 539, 770, 1078, 2695, 5390
The HCF of 7951,5390 is 1.
Lets's calculate GCF of 7951,5390
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7951,5390 By Matching Biggest Common Factor Method
Now, list down the factors of 7951
:1,7951
Now, list down the factors of 5390
:1,2,5,7,10,11,14,22,35,49,55,70,77,98,110,154,245,385,490,539,770,1078,2695,5390
Greatest Common Factor
We found the factors 7951,5390 . The biggest common factor number is the GCF number.
So the greatest common factor 7951,5390 is 1.
Lets's calculate LCM of 597,605
Given numbers has no common factors except 1. So, there LCM is their product i.e 361185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/361185
Therefore, the GCF of Fractions 7951/597,5390/605 is 1/361185
Least Common Multiple of 597,605 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 597,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(597,605) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(597,605) x common factors =1 x 1 = 1
LCM(597,605) = ( 597 × 605 ) / 1
LCM(597,605) = 361185 / 1
LCM(597,605) = 361185
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FAQs on GCF of Fractions of 7951/597, 5390/605
1. What is the HCF of 7951,5390?
The HCF of 7951,5390 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 7951/597, 5390/605?
Answer: GCF of Numerators as per given numbers 7951/597, 5390/605 is
GCF of Numerators i.e. for 7951,5390 is 1
LCM of denominators i.e. for 597,605 is 361185.
Thus, GCF of Fractions is 1/361185.Finally, GCF of Fractions for 7951/597, 5390/605 is 1/361185.