GCF of 9834/658, 5358/3962
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9834/658, 5358/3962 i.e 6/186214 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9834/658, 5358/3962.
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 9834/658,5358/3962?
Given fractions are 9834/658,5358/3962
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 9834/658,5358/3962, numerators are 9834,5358
Denominators are 658,3962
The GCF of 9834,5358 is 6 .
LCM of 658,3962 is 186214.
The greatest common factor of 9834/658,5358/3962 = [GCF of 9834,5358]/[LCM of 658,3962]= 6/186214
Therefore, the GCF of 9834/658,5358/3962 is 6/186214.
To find the highest common factor of 9834,5358, we have to find the factors of both numbers and list the highest common factor.
The factors of 9834 are 1, 2, 3, 6, 11, 22, 33, 66, 149, 298, 447, 894, 1639, 3278, 4917, 9834
The factors of 5358 are 1, 2, 3, 6, 19, 38, 47, 57, 94, 114, 141, 282, 893, 1786, 2679, 5358
The HCF of 9834,5358 is 6.
Lets's calculate GCF of 9834,5358
| 2 | 9834, 5358 |
| 3 | 4917, 2679 |
| 1639, 893 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9834,5358 By Matching Biggest Common Factor Method
Now, list down the factors of 9834
:1,2,3,6,11,22,33,66,149,298,447,894,1639,3278,4917,9834
Now, list down the factors of 5358
:1,2,3,6,19,38,47,57,94,114,141,282,893,1786,2679,5358
Greatest Common Factor
We found the factors 9834,5358 . The biggest common factor number is the GCF number.
So the greatest common factor 9834,5358 is 6.
Lets's calculate LCM of 658,3962
| 2 | 658, 3962 |
| 7 | 329, 1981 |
| 47, 283 |
∴ So the LCM of the given numbers is 2 x 7 x 47 x 283 = 186214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/186214
Therefore, the GCF of Fractions 9834/658,5358/3962 is 6/186214
Least Common Multiple of 658,3962 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 658,3962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,3962) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(658,3962) x common factors =14 x 1 = 14
LCM(658,3962) = ( 658 × 3962 ) / 14
LCM(658,3962) = 2606996 / 14
LCM(658,3962) = 186214
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FAQs on GCF of Fractions of 9834/658, 5358/3962
1. What is the HCF of 9834,5358?
The HCF of 9834,5358 is 6
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 9834/658, 5358/3962?
Answer: GCF of Numerators as per given numbers 9834/658, 5358/3962 is
GCF of Numerators i.e. for 9834,5358 is 6
LCM of denominators i.e. for 658,3962 is 186214.
Thus, GCF of Fractions is 6/186214.Finally, GCF of Fractions for 9834/658, 5358/3962 is 6/186214.