GCF of 3808/434, 6953/6813
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3808/434, 6953/6813 i.e 17/2956842 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3808/434, 6953/6813.
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 3808/434,6953/6813?
Given fractions are 3808/434,6953/6813
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 3808/434,6953/6813, numerators are 3808,6953
Denominators are 434,6813
The GCF of 3808,6953 is 17 .
LCM of 434,6813 is 2956842.
The greatest common factor of 3808/434,6953/6813 = [GCF of 3808,6953]/[LCM of 434,6813]= 17/2956842
Therefore, the GCF of 3808/434,6953/6813 is 17/2956842.
To find the highest common factor of 3808,6953, we have to find the factors of both numbers and list the highest common factor.
The factors of 3808 are 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 476, 544, 952, 1904, 3808
The factors of 6953 are 1, 17, 409, 6953
The HCF of 3808,6953 is 17.
Lets's calculate GCF of 3808,6953
| 17 | 3808, 6953 |
| 224, 409 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 3808,6953 By Matching Biggest Common Factor Method
Now, list down the factors of 3808
:1,2,4,7,8,14,16,17,28,32,34,56,68,112,119,136,224,238,272,476,544,952,1904,3808
Now, list down the factors of 6953
:1,17,409,6953
Greatest Common Factor
We found the factors 3808,6953 . The biggest common factor number is the GCF number.
So the greatest common factor 3808,6953 is 17.
Lets's calculate LCM of 434,6813
Given numbers has no common factors except 1. So, there LCM is their product i.e 2956842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/2956842
Therefore, the GCF of Fractions 3808/434,6953/6813 is 17/2956842
Least Common Multiple of 434,6813 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 434,6813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,6813) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(434,6813) x common factors =1 x 1 = 1
LCM(434,6813) = ( 434 × 6813 ) / 1
LCM(434,6813) = 2956842 / 1
LCM(434,6813) = 2956842
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FAQs on GCF of Fractions of 3808/434, 6953/6813
1. What is the HCF of 3808,6953?
The HCF of 3808,6953 is 17
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 3808/434, 6953/6813?
Answer: GCF of Numerators as per given numbers 3808/434, 6953/6813 is
GCF of Numerators i.e. for 3808,6953 is 17
LCM of denominators i.e. for 434,6813 is 2956842.
Thus, GCF of Fractions is 17/2956842.Finally, GCF of Fractions for 3808/434, 6953/6813 is 17/2956842.