GCF of 6436/937, 8274/130
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6436/937, 8274/130 i.e 2/121810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6436/937, 8274/130.
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 6436/937,8274/130?
Given fractions are 6436/937,8274/130
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 6436/937,8274/130, numerators are 6436,8274
Denominators are 937,130
The GCF of 6436,8274 is 2 .
LCM of 937,130 is 121810.
The greatest common factor of 6436/937,8274/130 = [GCF of 6436,8274]/[LCM of 937,130]= 2/121810
Therefore, the GCF of 6436/937,8274/130 is 2/121810.
To find the highest common factor of 6436,8274, we have to find the factors of both numbers and list the highest common factor.
The factors of 6436 are 1, 2, 4, 1609, 3218, 6436
The factors of 8274 are 1, 2, 3, 6, 7, 14, 21, 42, 197, 394, 591, 1182, 1379, 2758, 4137, 8274
The HCF of 6436,8274 is 2.
Lets's calculate GCF of 6436,8274
| 2 | 6436, 8274 |
| 3218, 4137 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6436,8274 By Matching Biggest Common Factor Method
Now, list down the factors of 6436
:1,2,4,1609,3218,6436
Now, list down the factors of 8274
:1,2,3,6,7,14,21,42,197,394,591,1182,1379,2758,4137,8274
Greatest Common Factor
We found the factors 6436,8274 . The biggest common factor number is the GCF number.
So the greatest common factor 6436,8274 is 2.
Lets's calculate LCM of 937,130
Given numbers has no common factors except 1. So, there LCM is their product i.e 121810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/121810
Therefore, the GCF of Fractions 6436/937,8274/130 is 2/121810
Least Common Multiple of 937,130 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 937,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(937,130) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(937,130) x common factors =1 x 1 = 1
LCM(937,130) = ( 937 × 130 ) / 1
LCM(937,130) = 121810 / 1
LCM(937,130) = 121810
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FAQs on GCF of Fractions of 6436/937, 8274/130
1. What is the HCF of 6436,8274?
The HCF of 6436,8274 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 6436/937, 8274/130?
Answer: GCF of Numerators as per given numbers 6436/937, 8274/130 is
GCF of Numerators i.e. for 6436,8274 is 2
LCM of denominators i.e. for 937,130 is 121810.
Thus, GCF of Fractions is 2/121810.Finally, GCF of Fractions for 6436/937, 8274/130 is 2/121810.