GCF of 3550/509, 7539/634
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3550/509, 7539/634 i.e 1/322706 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3550/509, 7539/634.
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 3550/509,7539/634?
Given fractions are 3550/509,7539/634
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 3550/509,7539/634, numerators are 3550,7539
Denominators are 509,634
The GCF of 3550,7539 is 1 .
LCM of 509,634 is 322706.
The greatest common factor of 3550/509,7539/634 = [GCF of 3550,7539]/[LCM of 509,634]= 1/322706
Therefore, the GCF of 3550/509,7539/634 is 1/322706.
To find the highest common factor of 3550,7539, we have to find the factors of both numbers and list the highest common factor.
The factors of 3550 are 1, 2, 5, 10, 25, 50, 71, 142, 355, 710, 1775, 3550
The factors of 7539 are 1, 3, 7, 21, 359, 1077, 2513, 7539
The HCF of 3550,7539 is 1.
Lets's calculate GCF of 3550,7539
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3550,7539 By Matching Biggest Common Factor Method
Now, list down the factors of 3550
:1,2,5,10,25,50,71,142,355,710,1775,3550
Now, list down the factors of 7539
:1,3,7,21,359,1077,2513,7539
Greatest Common Factor
We found the factors 3550,7539 . The biggest common factor number is the GCF number.
So the greatest common factor 3550,7539 is 1.
Lets's calculate LCM of 509,634
Given numbers has no common factors except 1. So, there LCM is their product i.e 322706
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/322706
Therefore, the GCF of Fractions 3550/509,7539/634 is 1/322706
Least Common Multiple of 509,634 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 509,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,634) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,634) x common factors =1 x 1 = 1
LCM(509,634) = ( 509 × 634 ) / 1
LCM(509,634) = 322706 / 1
LCM(509,634) = 322706
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FAQs on GCF of Fractions of 3550/509, 7539/634
1. What is the HCF of 3550,7539?
The HCF of 3550,7539 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 3550/509, 7539/634?
Answer: GCF of Numerators as per given numbers 3550/509, 7539/634 is
GCF of Numerators i.e. for 3550,7539 is 1
LCM of denominators i.e. for 509,634 is 322706.
Thus, GCF of Fractions is 1/322706.Finally, GCF of Fractions for 3550/509, 7539/634 is 1/322706.