GCF of 8368/914, 9953/7574
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8368/914, 9953/7574 i.e 1/3461318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8368/914, 9953/7574.
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 8368/914,9953/7574?
Given fractions are 8368/914,9953/7574
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 8368/914,9953/7574, numerators are 8368,9953
Denominators are 914,7574
The GCF of 8368,9953 is 1 .
LCM of 914,7574 is 3461318.
The greatest common factor of 8368/914,9953/7574 = [GCF of 8368,9953]/[LCM of 914,7574]= 1/3461318
Therefore, the GCF of 8368/914,9953/7574 is 1/3461318.
To find the highest common factor of 8368,9953, we have to find the factors of both numbers and list the highest common factor.
The factors of 8368 are 1, 2, 4, 8, 16, 523, 1046, 2092, 4184, 8368
The factors of 9953 are 1, 37, 269, 9953
The HCF of 8368,9953 is 1.
Lets's calculate GCF of 8368,9953
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8368,9953 By Matching Biggest Common Factor Method
Now, list down the factors of 8368
:1,2,4,8,16,523,1046,2092,4184,8368
Now, list down the factors of 9953
:1,37,269,9953
Greatest Common Factor
We found the factors 8368,9953 . The biggest common factor number is the GCF number.
So the greatest common factor 8368,9953 is 1.
Lets's calculate LCM of 914,7574
| 2 | 914, 7574 |
| 457, 3787 |
∴ So the LCM of the given numbers is 2 x 457 x 3787 = 3461318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3461318
Therefore, the GCF of Fractions 8368/914,9953/7574 is 1/3461318
Least Common Multiple of 914,7574 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 914,7574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,7574) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(914,7574) x common factors =2 x 1 = 2
LCM(914,7574) = ( 914 × 7574 ) / 2
LCM(914,7574) = 6922636 / 2
LCM(914,7574) = 3461318
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FAQs on GCF of Fractions of 8368/914, 9953/7574
1. What is the HCF of 8368,9953?
The HCF of 8368,9953 is 1
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 8368/914, 9953/7574?
Answer: GCF of Numerators as per given numbers 8368/914, 9953/7574 is
GCF of Numerators i.e. for 8368,9953 is 1
LCM of denominators i.e. for 914,7574 is 3461318.
Thus, GCF of Fractions is 1/3461318.Finally, GCF of Fractions for 8368/914, 9953/7574 is 1/3461318.