GCF of 9346/833, 5015/7896
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9346/833, 5015/7896 i.e 1/939624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9346/833, 5015/7896.
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 9346/833,5015/7896?
Given fractions are 9346/833,5015/7896
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 9346/833,5015/7896, numerators are 9346,5015
Denominators are 833,7896
The GCF of 9346,5015 is 1 .
LCM of 833,7896 is 939624.
The greatest common factor of 9346/833,5015/7896 = [GCF of 9346,5015]/[LCM of 833,7896]= 1/939624
Therefore, the GCF of 9346/833,5015/7896 is 1/939624.
To find the highest common factor of 9346,5015, we have to find the factors of both numbers and list the highest common factor.
The factors of 9346 are 1, 2, 4673, 9346
The factors of 5015 are 1, 5, 17, 59, 85, 295, 1003, 5015
The HCF of 9346,5015 is 1.
Lets's calculate GCF of 9346,5015
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9346,5015 By Matching Biggest Common Factor Method
Now, list down the factors of 9346
:1,2,4673,9346
Now, list down the factors of 5015
:1,5,17,59,85,295,1003,5015
Greatest Common Factor
We found the factors 9346,5015 . The biggest common factor number is the GCF number.
So the greatest common factor 9346,5015 is 1.
Lets's calculate LCM of 833,7896
| 7 | 833, 7896 |
| 119, 1128 |
∴ So the LCM of the given numbers is 7 x 119 x 1128 = 939624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/939624
Therefore, the GCF of Fractions 9346/833,5015/7896 is 1/939624
Least Common Multiple of 833,7896 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 833,7896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(833,7896) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(833,7896) x common factors =7 x 1 = 7
LCM(833,7896) = ( 833 × 7896 ) / 7
LCM(833,7896) = 6577368 / 7
LCM(833,7896) = 939624
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FAQs on GCF of Fractions of 9346/833, 5015/7896
1. What is the HCF of 9346,5015?
The HCF of 9346,5015 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 9346/833, 5015/7896?
Answer: GCF of Numerators as per given numbers 9346/833, 5015/7896 is
GCF of Numerators i.e. for 9346,5015 is 1
LCM of denominators i.e. for 833,7896 is 939624.
Thus, GCF of Fractions is 1/939624.Finally, GCF of Fractions for 9346/833, 5015/7896 is 1/939624.