GCF of 9785/862, 7313/7380
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9785/862, 7313/7380 i.e 103/3180780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9785/862, 7313/7380.
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 9785/862,7313/7380?
Given fractions are 9785/862,7313/7380
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 9785/862,7313/7380, numerators are 9785,7313
Denominators are 862,7380
The GCF of 9785,7313 is 103 .
LCM of 862,7380 is 3180780.
The greatest common factor of 9785/862,7313/7380 = [GCF of 9785,7313]/[LCM of 862,7380]= 103/3180780
Therefore, the GCF of 9785/862,7313/7380 is 103/3180780.
To find the highest common factor of 9785,7313, we have to find the factors of both numbers and list the highest common factor.
The factors of 9785 are 1, 5, 19, 95, 103, 515, 1957, 9785
The factors of 7313 are 1, 71, 103, 7313
The HCF of 9785,7313 is 103.
Lets's calculate GCF of 9785,7313
| 103 | 9785, 7313 |
| 95, 71 |
∴ So the GCF of the given numbers is 103 = 103
Greatest Common Factor of 9785,7313 By Matching Biggest Common Factor Method
Now, list down the factors of 9785
:1,5,19,95,103,515,1957,9785
Now, list down the factors of 7313
:1,71,103,7313
Greatest Common Factor
We found the factors 9785,7313 . The biggest common factor number is the GCF number.
So the greatest common factor 9785,7313 is 103.
Lets's calculate LCM of 862,7380
| 2 | 862, 7380 |
| 431, 3690 |
∴ So the LCM of the given numbers is 2 x 431 x 3690 = 3180780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 103/3180780
Therefore, the GCF of Fractions 9785/862,7313/7380 is 103/3180780
Least Common Multiple of 862,7380 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 862,7380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,7380) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(862,7380) x common factors =2 x 1 = 2
LCM(862,7380) = ( 862 × 7380 ) / 2
LCM(862,7380) = 6361560 / 2
LCM(862,7380) = 3180780
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FAQs on GCF of Fractions of 9785/862, 7313/7380
1. What is the HCF of 9785,7313?
The HCF of 9785,7313 is 103
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 9785/862, 7313/7380?
Answer: GCF of Numerators as per given numbers 9785/862, 7313/7380 is
GCF of Numerators i.e. for 9785,7313 is 103
LCM of denominators i.e. for 862,7380 is 3180780.
Thus, GCF of Fractions is 103/3180780.Finally, GCF of Fractions for 9785/862, 7313/7380 is 103/3180780.