GCF of 2407/836, 9794/7938
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2407/836, 9794/7938 i.e 83/3318084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2407/836, 9794/7938.
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 2407/836,9794/7938?
Given fractions are 2407/836,9794/7938
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 2407/836,9794/7938, numerators are 2407,9794
Denominators are 836,7938
The GCF of 2407,9794 is 83 .
LCM of 836,7938 is 3318084.
The greatest common factor of 2407/836,9794/7938 = [GCF of 2407,9794]/[LCM of 836,7938]= 83/3318084
Therefore, the GCF of 2407/836,9794/7938 is 83/3318084.
To find the highest common factor of 2407,9794, we have to find the factors of both numbers and list the highest common factor.
The factors of 2407 are 1, 29, 83, 2407
The factors of 9794 are 1, 2, 59, 83, 118, 166, 4897, 9794
The HCF of 2407,9794 is 83.
Lets's calculate GCF of 2407,9794
| 83 | 2407, 9794 |
| 29, 118 |
∴ So the GCF of the given numbers is 83 = 83
Greatest Common Factor of 2407,9794 By Matching Biggest Common Factor Method
Now, list down the factors of 2407
:1,29,83,2407
Now, list down the factors of 9794
:1,2,59,83,118,166,4897,9794
Greatest Common Factor
We found the factors 2407,9794 . The biggest common factor number is the GCF number.
So the greatest common factor 2407,9794 is 83.
Lets's calculate LCM of 836,7938
| 2 | 836, 7938 |
| 418, 3969 |
∴ So the LCM of the given numbers is 2 x 418 x 3969 = 3318084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 83/3318084
Therefore, the GCF of Fractions 2407/836,9794/7938 is 83/3318084
Least Common Multiple of 836,7938 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 836,7938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(836,7938) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(836,7938) x common factors =2 x 1 = 2
LCM(836,7938) = ( 836 × 7938 ) / 2
LCM(836,7938) = 6636168 / 2
LCM(836,7938) = 3318084
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FAQs on GCF of Fractions of 2407/836, 9794/7938
1. What is the HCF of 2407,9794?
The HCF of 2407,9794 is 83
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 2407/836, 9794/7938?
Answer: GCF of Numerators as per given numbers 2407/836, 9794/7938 is
GCF of Numerators i.e. for 2407,9794 is 83
LCM of denominators i.e. for 836,7938 is 3318084.
Thus, GCF of Fractions is 83/3318084.Finally, GCF of Fractions for 2407/836, 9794/7938 is 83/3318084.