GCF of 3470/349, 4602/5327
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3470/349, 4602/5327 i.e 2/1859123 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3470/349, 4602/5327.
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 3470/349,4602/5327?
Given fractions are 3470/349,4602/5327
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 3470/349,4602/5327, numerators are 3470,4602
Denominators are 349,5327
The GCF of 3470,4602 is 2 .
LCM of 349,5327 is 1859123.
The greatest common factor of 3470/349,4602/5327 = [GCF of 3470,4602]/[LCM of 349,5327]= 2/1859123
Therefore, the GCF of 3470/349,4602/5327 is 2/1859123.
To find the highest common factor of 3470,4602, we have to find the factors of both numbers and list the highest common factor.
The factors of 3470 are 1, 2, 5, 10, 347, 694, 1735, 3470
The factors of 4602 are 1, 2, 3, 6, 13, 26, 39, 59, 78, 118, 177, 354, 767, 1534, 2301, 4602
The HCF of 3470,4602 is 2.
Lets's calculate GCF of 3470,4602
| 2 | 3470, 4602 |
| 1735, 2301 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3470,4602 By Matching Biggest Common Factor Method
Now, list down the factors of 3470
:1,2,5,10,347,694,1735,3470
Now, list down the factors of 4602
:1,2,3,6,13,26,39,59,78,118,177,354,767,1534,2301,4602
Greatest Common Factor
We found the factors 3470,4602 . The biggest common factor number is the GCF number.
So the greatest common factor 3470,4602 is 2.
Lets's calculate LCM of 349,5327
Given numbers has no common factors except 1. So, there LCM is their product i.e 1859123
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1859123
Therefore, the GCF of Fractions 3470/349,4602/5327 is 2/1859123
Least Common Multiple of 349,5327 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 349,5327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(349,5327) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(349,5327) x common factors =1 x 1 = 1
LCM(349,5327) = ( 349 × 5327 ) / 1
LCM(349,5327) = 1859123 / 1
LCM(349,5327) = 1859123
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FAQs on GCF of Fractions of 3470/349, 4602/5327
1. What is the HCF of 3470,4602?
The HCF of 3470,4602 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 3470/349, 4602/5327?
Answer: GCF of Numerators as per given numbers 3470/349, 4602/5327 is
GCF of Numerators i.e. for 3470,4602 is 2
LCM of denominators i.e. for 349,5327 is 1859123.
Thus, GCF of Fractions is 2/1859123.Finally, GCF of Fractions for 3470/349, 4602/5327 is 2/1859123.