GCF of 698/917, 9590/393
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 698/917, 9590/393 i.e 2/2751 easily. The following is the detailed procedure to determine the greatest common factor of fractions 698/917, 9590/393.
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 698/917,9590/393?
Given fractions are 698/917,9590/393
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 698/917,9590/393, numerators are 698,9590
Denominators are 917,393
The GCF of 698,9590 is 2 .
LCM of 917,393 is 2751.
The greatest common factor of 698/917,9590/393 = [GCF of 698,9590]/[LCM of 917,393]= 2/2751
Therefore, the GCF of 698/917,9590/393 is 2/2751.
To find the highest common factor of 698,9590, we have to find the factors of both numbers and list the highest common factor.
The factors of 698 are 1, 2, 349, 698
The factors of 9590 are 1, 2, 5, 7, 10, 14, 35, 70, 137, 274, 685, 959, 1370, 1918, 4795, 9590
The HCF of 698,9590 is 2.
Lets's calculate GCF of 698,9590
| 2 | 698, 9590 |
| 349, 4795 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 698,9590 By Matching Biggest Common Factor Method
Now, list down the factors of 698
:1,2,349,698
Now, list down the factors of 9590
:1,2,5,7,10,14,35,70,137,274,685,959,1370,1918,4795,9590
Greatest Common Factor
We found the factors 698,9590 . The biggest common factor number is the GCF number.
So the greatest common factor 698,9590 is 2.
Lets's calculate LCM of 917,393
| 131 | 917, 393 |
| 7, 3 |
∴ So the LCM of the given numbers is 131 x 7 x 3 = 2751
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2751
Therefore, the GCF of Fractions 698/917,9590/393 is 2/2751
Least Common Multiple of 917,393 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 917,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(917,393) = 131
common factors(in case of two or more numbers have common factors) = 1
GCF(917,393) x common factors =131 x 1 = 131
LCM(917,393) = ( 917 × 393 ) / 131
LCM(917,393) = 360381 / 131
LCM(917,393) = 2751
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FAQs on GCF of Fractions of 698/917, 9590/393
1. What is the HCF of 698,9590?
The HCF of 698,9590 is 2
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 698/917, 9590/393?
Answer: GCF of Numerators as per given numbers 698/917, 9590/393 is
GCF of Numerators i.e. for 698,9590 is 2
LCM of denominators i.e. for 917,393 is 2751.
Thus, GCF of Fractions is 2/2751.Finally, GCF of Fractions for 698/917, 9590/393 is 2/2751.