GCF of 1337/602, 4872/352
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1337/602, 4872/352 i.e 7/105952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1337/602, 4872/352.
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 1337/602,4872/352?
Given fractions are 1337/602,4872/352
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 1337/602,4872/352, numerators are 1337,4872
Denominators are 602,352
The GCF of 1337,4872 is 7 .
LCM of 602,352 is 105952.
The greatest common factor of 1337/602,4872/352 = [GCF of 1337,4872]/[LCM of 602,352]= 7/105952
Therefore, the GCF of 1337/602,4872/352 is 7/105952.
To find the highest common factor of 1337,4872, we have to find the factors of both numbers and list the highest common factor.
The factors of 1337 are 1, 7, 191, 1337
The factors of 4872 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 29, 42, 56, 58, 84, 87, 116, 168, 174, 203, 232, 348, 406, 609, 696, 812, 1218, 1624, 2436, 4872
The HCF of 1337,4872 is 7.
Lets's calculate GCF of 1337,4872
| 7 | 1337, 4872 |
| 191, 696 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1337,4872 By Matching Biggest Common Factor Method
Now, list down the factors of 1337
:1,7,191,1337
Now, list down the factors of 4872
:1,2,3,4,6,7,8,12,14,21,24,28,29,42,56,58,84,87,116,168,174,203,232,348,406,609,696,812,1218,1624,2436,4872
Greatest Common Factor
We found the factors 1337,4872 . The biggest common factor number is the GCF number.
So the greatest common factor 1337,4872 is 7.
Lets's calculate LCM of 602,352
| 2 | 602, 352 |
| 301, 176 |
∴ So the LCM of the given numbers is 2 x 301 x 176 = 105952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/105952
Therefore, the GCF of Fractions 1337/602,4872/352 is 7/105952
Least Common Multiple of 602,352 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 602,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(602,352) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(602,352) x common factors =2 x 1 = 2
LCM(602,352) = ( 602 × 352 ) / 2
LCM(602,352) = 211904 / 2
LCM(602,352) = 105952
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FAQs on GCF of Fractions of 1337/602, 4872/352
1. What is the HCF of 1337,4872?
The HCF of 1337,4872 is 7
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 1337/602, 4872/352?
Answer: GCF of Numerators as per given numbers 1337/602, 4872/352 is
GCF of Numerators i.e. for 1337,4872 is 7
LCM of denominators i.e. for 602,352 is 105952.
Thus, GCF of Fractions is 7/105952.Finally, GCF of Fractions for 1337/602, 4872/352 is 7/105952.