GCF of 7690/953, 5396/483
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7690/953, 5396/483 i.e 2/460299 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7690/953, 5396/483.
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 7690/953,5396/483?
Given fractions are 7690/953,5396/483
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 7690/953,5396/483, numerators are 7690,5396
Denominators are 953,483
The GCF of 7690,5396 is 2 .
LCM of 953,483 is 460299.
The greatest common factor of 7690/953,5396/483 = [GCF of 7690,5396]/[LCM of 953,483]= 2/460299
Therefore, the GCF of 7690/953,5396/483 is 2/460299.
To find the highest common factor of 7690,5396, we have to find the factors of both numbers and list the highest common factor.
The factors of 7690 are 1, 2, 5, 10, 769, 1538, 3845, 7690
The factors of 5396 are 1, 2, 4, 19, 38, 71, 76, 142, 284, 1349, 2698, 5396
The HCF of 7690,5396 is 2.
Lets's calculate GCF of 7690,5396
| 2 | 7690, 5396 |
| 3845, 2698 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7690,5396 By Matching Biggest Common Factor Method
Now, list down the factors of 7690
:1,2,5,10,769,1538,3845,7690
Now, list down the factors of 5396
:1,2,4,19,38,71,76,142,284,1349,2698,5396
Greatest Common Factor
We found the factors 7690,5396 . The biggest common factor number is the GCF number.
So the greatest common factor 7690,5396 is 2.
Lets's calculate LCM of 953,483
Given numbers has no common factors except 1. So, there LCM is their product i.e 460299
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/460299
Therefore, the GCF of Fractions 7690/953,5396/483 is 2/460299
Least Common Multiple of 953,483 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 953,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(953,483) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(953,483) x common factors =1 x 1 = 1
LCM(953,483) = ( 953 × 483 ) / 1
LCM(953,483) = 460299 / 1
LCM(953,483) = 460299
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FAQs on GCF of Fractions of 7690/953, 5396/483
1. What is the HCF of 7690,5396?
The HCF of 7690,5396 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 7690/953, 5396/483?
Answer: GCF of Numerators as per given numbers 7690/953, 5396/483 is
GCF of Numerators i.e. for 7690,5396 is 2
LCM of denominators i.e. for 953,483 is 460299.
Thus, GCF of Fractions is 2/460299.Finally, GCF of Fractions for 7690/953, 5396/483 is 2/460299.