GCF of 5495/210, 8922/3698
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5495/210, 8922/3698 i.e 1/388290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5495/210, 8922/3698.
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 5495/210,8922/3698?
Given fractions are 5495/210,8922/3698
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 5495/210,8922/3698, numerators are 5495,8922
Denominators are 210,3698
The GCF of 5495,8922 is 1 .
LCM of 210,3698 is 388290.
The greatest common factor of 5495/210,8922/3698 = [GCF of 5495,8922]/[LCM of 210,3698]= 1/388290
Therefore, the GCF of 5495/210,8922/3698 is 1/388290.
To find the highest common factor of 5495,8922, we have to find the factors of both numbers and list the highest common factor.
The factors of 5495 are 1, 5, 7, 35, 157, 785, 1099, 5495
The factors of 8922 are 1, 2, 3, 6, 1487, 2974, 4461, 8922
The HCF of 5495,8922 is 1.
Lets's calculate GCF of 5495,8922
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5495,8922 By Matching Biggest Common Factor Method
Now, list down the factors of 5495
:1,5,7,35,157,785,1099,5495
Now, list down the factors of 8922
:1,2,3,6,1487,2974,4461,8922
Greatest Common Factor
We found the factors 5495,8922 . The biggest common factor number is the GCF number.
So the greatest common factor 5495,8922 is 1.
Lets's calculate LCM of 210,3698
| 2 | 210, 3698 |
| 105, 1849 |
∴ So the LCM of the given numbers is 2 x 105 x 1849 = 388290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/388290
Therefore, the GCF of Fractions 5495/210,8922/3698 is 1/388290
Least Common Multiple of 210,3698 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 210,3698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(210,3698) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(210,3698) x common factors =2 x 1 = 2
LCM(210,3698) = ( 210 × 3698 ) / 2
LCM(210,3698) = 776580 / 2
LCM(210,3698) = 388290
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FAQs on GCF of Fractions of 5495/210, 8922/3698
1. What is the HCF of 5495,8922?
The HCF of 5495,8922 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 5495/210, 8922/3698?
Answer: GCF of Numerators as per given numbers 5495/210, 8922/3698 is
GCF of Numerators i.e. for 5495,8922 is 1
LCM of denominators i.e. for 210,3698 is 388290.
Thus, GCF of Fractions is 1/388290.Finally, GCF of Fractions for 5495/210, 8922/3698 is 1/388290.