GCF of 7958/236, 5318/834
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7958/236, 5318/834 i.e 2/98412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7958/236, 5318/834.
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 7958/236,5318/834?
Given fractions are 7958/236,5318/834
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 7958/236,5318/834, numerators are 7958,5318
Denominators are 236,834
The GCF of 7958,5318 is 2 .
LCM of 236,834 is 98412.
The greatest common factor of 7958/236,5318/834 = [GCF of 7958,5318]/[LCM of 236,834]= 2/98412
Therefore, the GCF of 7958/236,5318/834 is 2/98412.
To find the highest common factor of 7958,5318, we have to find the factors of both numbers and list the highest common factor.
The factors of 7958 are 1, 2, 23, 46, 173, 346, 3979, 7958
The factors of 5318 are 1, 2, 2659, 5318
The HCF of 7958,5318 is 2.
Lets's calculate GCF of 7958,5318
| 2 | 7958, 5318 |
| 3979, 2659 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7958,5318 By Matching Biggest Common Factor Method
Now, list down the factors of 7958
:1,2,23,46,173,346,3979,7958
Now, list down the factors of 5318
:1,2,2659,5318
Greatest Common Factor
We found the factors 7958,5318 . The biggest common factor number is the GCF number.
So the greatest common factor 7958,5318 is 2.
Lets's calculate LCM of 236,834
| 2 | 236, 834 |
| 118, 417 |
∴ So the LCM of the given numbers is 2 x 118 x 417 = 98412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/98412
Therefore, the GCF of Fractions 7958/236,5318/834 is 2/98412
Least Common Multiple of 236,834 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 236,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,834) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(236,834) x common factors =2 x 1 = 2
LCM(236,834) = ( 236 × 834 ) / 2
LCM(236,834) = 196824 / 2
LCM(236,834) = 98412
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FAQs on GCF of Fractions of 7958/236, 5318/834
1. What is the HCF of 7958,5318?
The HCF of 7958,5318 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 7958/236, 5318/834?
Answer: GCF of Numerators as per given numbers 7958/236, 5318/834 is
GCF of Numerators i.e. for 7958,5318 is 2
LCM of denominators i.e. for 236,834 is 98412.
Thus, GCF of Fractions is 2/98412.Finally, GCF of Fractions for 7958/236, 5318/834 is 2/98412.