GCF of 1537/659, 7728/7398
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1537/659, 7728/7398 i.e 1/4875282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1537/659, 7728/7398.
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 1537/659,7728/7398?
Given fractions are 1537/659,7728/7398
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 1537/659,7728/7398, numerators are 1537,7728
Denominators are 659,7398
The GCF of 1537,7728 is 1 .
LCM of 659,7398 is 4875282.
The greatest common factor of 1537/659,7728/7398 = [GCF of 1537,7728]/[LCM of 659,7398]= 1/4875282
Therefore, the GCF of 1537/659,7728/7398 is 1/4875282.
To find the highest common factor of 1537,7728, we have to find the factors of both numbers and list the highest common factor.
The factors of 1537 are 1, 29, 53, 1537
The factors of 7728 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 23, 24, 28, 42, 46, 48, 56, 69, 84, 92, 112, 138, 161, 168, 184, 276, 322, 336, 368, 483, 552, 644, 966, 1104, 1288, 1932, 2576, 3864, 7728
The HCF of 1537,7728 is 1.
Lets's calculate GCF of 1537,7728
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1537,7728 By Matching Biggest Common Factor Method
Now, list down the factors of 1537
:1,29,53,1537
Now, list down the factors of 7728
:1,2,3,4,6,7,8,12,14,16,21,23,24,28,42,46,48,56,69,84,92,112,138,161,168,184,276,322,336,368,483,552,644,966,1104,1288,1932,2576,3864,7728
Greatest Common Factor
We found the factors 1537,7728 . The biggest common factor number is the GCF number.
So the greatest common factor 1537,7728 is 1.
Lets's calculate LCM of 659,7398
Given numbers has no common factors except 1. So, there LCM is their product i.e 4875282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4875282
Therefore, the GCF of Fractions 1537/659,7728/7398 is 1/4875282
Least Common Multiple of 659,7398 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 659,7398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(659,7398) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(659,7398) x common factors =1 x 1 = 1
LCM(659,7398) = ( 659 × 7398 ) / 1
LCM(659,7398) = 4875282 / 1
LCM(659,7398) = 4875282
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FAQs on GCF of Fractions of 1537/659, 7728/7398
1. What is the HCF of 1537,7728?
The HCF of 1537,7728 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 1537/659, 7728/7398?
Answer: GCF of Numerators as per given numbers 1537/659, 7728/7398 is
GCF of Numerators i.e. for 1537,7728 is 1
LCM of denominators i.e. for 659,7398 is 4875282.
Thus, GCF of Fractions is 1/4875282.Finally, GCF of Fractions for 1537/659, 7728/7398 is 1/4875282.