GCF of 1070/514, 9619/2698
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1070/514, 9619/2698 i.e 1/693386 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1070/514, 9619/2698.
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 1070/514,9619/2698?
Given fractions are 1070/514,9619/2698
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 1070/514,9619/2698, numerators are 1070,9619
Denominators are 514,2698
The GCF of 1070,9619 is 1 .
LCM of 514,2698 is 693386.
The greatest common factor of 1070/514,9619/2698 = [GCF of 1070,9619]/[LCM of 514,2698]= 1/693386
Therefore, the GCF of 1070/514,9619/2698 is 1/693386.
To find the highest common factor of 1070,9619, we have to find the factors of both numbers and list the highest common factor.
The factors of 1070 are 1, 2, 5, 10, 107, 214, 535, 1070
The factors of 9619 are 1, 9619
The HCF of 1070,9619 is 1.
Lets's calculate GCF of 1070,9619
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1070,9619 By Matching Biggest Common Factor Method
Now, list down the factors of 1070
:1,2,5,10,107,214,535,1070
Now, list down the factors of 9619
:1,9619
Greatest Common Factor
We found the factors 1070,9619 . The biggest common factor number is the GCF number.
So the greatest common factor 1070,9619 is 1.
Lets's calculate LCM of 514,2698
| 2 | 514, 2698 |
| 257, 1349 |
∴ So the LCM of the given numbers is 2 x 257 x 1349 = 693386
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/693386
Therefore, the GCF of Fractions 1070/514,9619/2698 is 1/693386
Least Common Multiple of 514,2698 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 514,2698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,2698) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(514,2698) x common factors =2 x 1 = 2
LCM(514,2698) = ( 514 × 2698 ) / 2
LCM(514,2698) = 1386772 / 2
LCM(514,2698) = 693386
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FAQs on GCF of Fractions of 1070/514, 9619/2698
1. What is the HCF of 1070,9619?
The HCF of 1070,9619 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 1070/514, 9619/2698?
Answer: GCF of Numerators as per given numbers 1070/514, 9619/2698 is
GCF of Numerators i.e. for 1070,9619 is 1
LCM of denominators i.e. for 514,2698 is 693386.
Thus, GCF of Fractions is 1/693386.Finally, GCF of Fractions for 1070/514, 9619/2698 is 1/693386.