GCF of 9718/942, 9765/7934
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9718/942, 9765/7934 i.e 1/3736914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9718/942, 9765/7934.
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 9718/942,9765/7934?
Given fractions are 9718/942,9765/7934
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 9718/942,9765/7934, numerators are 9718,9765
Denominators are 942,7934
The GCF of 9718,9765 is 1 .
LCM of 942,7934 is 3736914.
The greatest common factor of 9718/942,9765/7934 = [GCF of 9718,9765]/[LCM of 942,7934]= 1/3736914
Therefore, the GCF of 9718/942,9765/7934 is 1/3736914.
To find the highest common factor of 9718,9765, we have to find the factors of both numbers and list the highest common factor.
The factors of 9718 are 1, 2, 43, 86, 113, 226, 4859, 9718
The factors of 9765 are 1, 3, 5, 7, 9, 15, 21, 31, 35, 45, 63, 93, 105, 155, 217, 279, 315, 465, 651, 1085, 1395, 1953, 3255, 9765
The HCF of 9718,9765 is 1.
Lets's calculate GCF of 9718,9765
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9718,9765 By Matching Biggest Common Factor Method
Now, list down the factors of 9718
:1,2,43,86,113,226,4859,9718
Now, list down the factors of 9765
:1,3,5,7,9,15,21,31,35,45,63,93,105,155,217,279,315,465,651,1085,1395,1953,3255,9765
Greatest Common Factor
We found the factors 9718,9765 . The biggest common factor number is the GCF number.
So the greatest common factor 9718,9765 is 1.
Lets's calculate LCM of 942,7934
| 2 | 942, 7934 |
| 471, 3967 |
∴ So the LCM of the given numbers is 2 x 471 x 3967 = 3736914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3736914
Therefore, the GCF of Fractions 9718/942,9765/7934 is 1/3736914
Least Common Multiple of 942,7934 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 942,7934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,7934) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(942,7934) x common factors =2 x 1 = 2
LCM(942,7934) = ( 942 × 7934 ) / 2
LCM(942,7934) = 7473828 / 2
LCM(942,7934) = 3736914
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FAQs on GCF of Fractions of 9718/942, 9765/7934
1. What is the HCF of 9718,9765?
The HCF of 9718,9765 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 9718/942, 9765/7934?
Answer: GCF of Numerators as per given numbers 9718/942, 9765/7934 is
GCF of Numerators i.e. for 9718,9765 is 1
LCM of denominators i.e. for 942,7934 is 3736914.
Thus, GCF of Fractions is 1/3736914.Finally, GCF of Fractions for 9718/942, 9765/7934 is 1/3736914.