GCF of 5320/734, 1498/735
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5320/734, 1498/735 i.e 14/539490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5320/734, 1498/735.
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 5320/734,1498/735?
Given fractions are 5320/734,1498/735
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 5320/734,1498/735, numerators are 5320,1498
Denominators are 734,735
The GCF of 5320,1498 is 14 .
LCM of 734,735 is 539490.
The greatest common factor of 5320/734,1498/735 = [GCF of 5320,1498]/[LCM of 734,735]= 14/539490
Therefore, the GCF of 5320/734,1498/735 is 14/539490.
To find the highest common factor of 5320,1498, we have to find the factors of both numbers and list the highest common factor.
The factors of 5320 are 1, 2, 4, 5, 7, 8, 10, 14, 19, 20, 28, 35, 38, 40, 56, 70, 76, 95, 133, 140, 152, 190, 266, 280, 380, 532, 665, 760, 1064, 1330, 2660, 5320
The factors of 1498 are 1, 2, 7, 14, 107, 214, 749, 1498
The HCF of 5320,1498 is 14.
Lets's calculate GCF of 5320,1498
| 2 | 5320, 1498 |
| 7 | 2660, 749 |
| 380, 107 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 5320,1498 By Matching Biggest Common Factor Method
Now, list down the factors of 5320
:1,2,4,5,7,8,10,14,19,20,28,35,38,40,56,70,76,95,133,140,152,190,266,280,380,532,665,760,1064,1330,2660,5320
Now, list down the factors of 1498
:1,2,7,14,107,214,749,1498
Greatest Common Factor
We found the factors 5320,1498 . The biggest common factor number is the GCF number.
So the greatest common factor 5320,1498 is 14.
Lets's calculate LCM of 734,735
Given numbers has no common factors except 1. So, there LCM is their product i.e 539490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/539490
Therefore, the GCF of Fractions 5320/734,1498/735 is 14/539490
Least Common Multiple of 734,735 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 734,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,735) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(734,735) x common factors =1 x 1 = 1
LCM(734,735) = ( 734 × 735 ) / 1
LCM(734,735) = 539490 / 1
LCM(734,735) = 539490
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FAQs on GCF of Fractions of 5320/734, 1498/735
1. What is the HCF of 5320,1498?
The HCF of 5320,1498 is 14
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 5320/734, 1498/735?
Answer: GCF of Numerators as per given numbers 5320/734, 1498/735 is
GCF of Numerators i.e. for 5320,1498 is 14
LCM of denominators i.e. for 734,735 is 539490.
Thus, GCF of Fractions is 14/539490.Finally, GCF of Fractions for 5320/734, 1498/735 is 14/539490.