GCF of 9356/562, 5218/170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9356/562, 5218/170 i.e 2/47770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9356/562, 5218/170.
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 9356/562,5218/170?
Given fractions are 9356/562,5218/170
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 9356/562,5218/170, numerators are 9356,5218
Denominators are 562,170
The GCF of 9356,5218 is 2 .
LCM of 562,170 is 47770.
The greatest common factor of 9356/562,5218/170 = [GCF of 9356,5218]/[LCM of 562,170]= 2/47770
Therefore, the GCF of 9356/562,5218/170 is 2/47770.
To find the highest common factor of 9356,5218, we have to find the factors of both numbers and list the highest common factor.
The factors of 9356 are 1, 2, 4, 2339, 4678, 9356
The factors of 5218 are 1, 2, 2609, 5218
The HCF of 9356,5218 is 2.
Lets's calculate GCF of 9356,5218
| 2 | 9356, 5218 |
| 4678, 2609 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9356,5218 By Matching Biggest Common Factor Method
Now, list down the factors of 9356
:1,2,4,2339,4678,9356
Now, list down the factors of 5218
:1,2,2609,5218
Greatest Common Factor
We found the factors 9356,5218 . The biggest common factor number is the GCF number.
So the greatest common factor 9356,5218 is 2.
Lets's calculate LCM of 562,170
| 2 | 562, 170 |
| 281, 85 |
∴ So the LCM of the given numbers is 2 x 281 x 85 = 47770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47770
Therefore, the GCF of Fractions 9356/562,5218/170 is 2/47770
Least Common Multiple of 562,170 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 562,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,170) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(562,170) x common factors =2 x 1 = 2
LCM(562,170) = ( 562 × 170 ) / 2
LCM(562,170) = 95540 / 2
LCM(562,170) = 47770
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FAQs on GCF of Fractions of 9356/562, 5218/170
1. What is the HCF of 9356,5218?
The HCF of 9356,5218 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 9356/562, 5218/170?
Answer: GCF of Numerators as per given numbers 9356/562, 5218/170 is
GCF of Numerators i.e. for 9356,5218 is 2
LCM of denominators i.e. for 562,170 is 47770.
Thus, GCF of Fractions is 2/47770.Finally, GCF of Fractions for 9356/562, 5218/170 is 2/47770.