GCF of 153/370, 8207/2418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 153/370, 8207/2418 i.e 1/447330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 153/370, 8207/2418.
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 153/370,8207/2418?
Given fractions are 153/370,8207/2418
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 153/370,8207/2418, numerators are 153,8207
Denominators are 370,2418
The GCF of 153,8207 is 1 .
LCM of 370,2418 is 447330.
The greatest common factor of 153/370,8207/2418 = [GCF of 153,8207]/[LCM of 370,2418]= 1/447330
Therefore, the GCF of 153/370,8207/2418 is 1/447330.
To find the highest common factor of 153,8207, we have to find the factors of both numbers and list the highest common factor.
The factors of 153 are 1, 3, 9, 17, 51, 153
The factors of 8207 are 1, 29, 283, 8207
The HCF of 153,8207 is 1.
Lets's calculate GCF of 153,8207
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 153,8207 By Matching Biggest Common Factor Method
Now, list down the factors of 153
:1,3,9,17,51,153
Now, list down the factors of 8207
:1,29,283,8207
Greatest Common Factor
We found the factors 153,8207 . The biggest common factor number is the GCF number.
So the greatest common factor 153,8207 is 1.
Lets's calculate LCM of 370,2418
| 2 | 370, 2418 |
| 185, 1209 |
∴ So the LCM of the given numbers is 2 x 185 x 1209 = 447330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/447330
Therefore, the GCF of Fractions 153/370,8207/2418 is 1/447330
Least Common Multiple of 370,2418 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 370,2418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,2418) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(370,2418) x common factors =2 x 1 = 2
LCM(370,2418) = ( 370 × 2418 ) / 2
LCM(370,2418) = 894660 / 2
LCM(370,2418) = 447330
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FAQs on GCF of Fractions of 153/370, 8207/2418
1. What is the HCF of 153,8207?
The HCF of 153,8207 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 153/370, 8207/2418?
Answer: GCF of Numerators as per given numbers 153/370, 8207/2418 is
GCF of Numerators i.e. for 153,8207 is 1
LCM of denominators i.e. for 370,2418 is 447330.
Thus, GCF of Fractions is 1/447330.Finally, GCF of Fractions for 153/370, 8207/2418 is 1/447330.