GCF of 9179/218, 9472/1370
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9179/218, 9472/1370 i.e 1/149330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9179/218, 9472/1370.
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 9179/218,9472/1370?
Given fractions are 9179/218,9472/1370
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 9179/218,9472/1370, numerators are 9179,9472
Denominators are 218,1370
The GCF of 9179,9472 is 1 .
LCM of 218,1370 is 149330.
The greatest common factor of 9179/218,9472/1370 = [GCF of 9179,9472]/[LCM of 218,1370]= 1/149330
Therefore, the GCF of 9179/218,9472/1370 is 1/149330.
To find the highest common factor of 9179,9472, we have to find the factors of both numbers and list the highest common factor.
The factors of 9179 are 1, 67, 137, 9179
The factors of 9472 are 1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 256, 296, 592, 1184, 2368, 4736, 9472
The HCF of 9179,9472 is 1.
Lets's calculate GCF of 9179,9472
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9179,9472 By Matching Biggest Common Factor Method
Now, list down the factors of 9179
:1,67,137,9179
Now, list down the factors of 9472
:1,2,4,8,16,32,37,64,74,128,148,256,296,592,1184,2368,4736,9472
Greatest Common Factor
We found the factors 9179,9472 . The biggest common factor number is the GCF number.
So the greatest common factor 9179,9472 is 1.
Lets's calculate LCM of 218,1370
| 2 | 218, 1370 |
| 109, 685 |
∴ So the LCM of the given numbers is 2 x 109 x 685 = 149330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149330
Therefore, the GCF of Fractions 9179/218,9472/1370 is 1/149330
Least Common Multiple of 218,1370 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 218,1370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,1370) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(218,1370) x common factors =2 x 1 = 2
LCM(218,1370) = ( 218 × 1370 ) / 2
LCM(218,1370) = 298660 / 2
LCM(218,1370) = 149330
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FAQs on GCF of Fractions of 9179/218, 9472/1370
1. What is the HCF of 9179,9472?
The HCF of 9179,9472 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 9179/218, 9472/1370?
Answer: GCF of Numerators as per given numbers 9179/218, 9472/1370 is
GCF of Numerators i.e. for 9179,9472 is 1
LCM of denominators i.e. for 218,1370 is 149330.
Thus, GCF of Fractions is 1/149330.Finally, GCF of Fractions for 9179/218, 9472/1370 is 1/149330.