GCF of 3677/533, 8832/7279
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3677/533, 8832/7279 i.e 1/3879707 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3677/533, 8832/7279.
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 3677/533,8832/7279?
Given fractions are 3677/533,8832/7279
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 3677/533,8832/7279, numerators are 3677,8832
Denominators are 533,7279
The GCF of 3677,8832 is 1 .
LCM of 533,7279 is 3879707.
The greatest common factor of 3677/533,8832/7279 = [GCF of 3677,8832]/[LCM of 533,7279]= 1/3879707
Therefore, the GCF of 3677/533,8832/7279 is 1/3879707.
To find the highest common factor of 3677,8832, we have to find the factors of both numbers and list the highest common factor.
The factors of 3677 are 1, 3677
The factors of 8832 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 128, 138, 184, 192, 276, 368, 384, 552, 736, 1104, 1472, 2208, 2944, 4416, 8832
The HCF of 3677,8832 is 1.
Lets's calculate GCF of 3677,8832
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3677,8832 By Matching Biggest Common Factor Method
Now, list down the factors of 3677
:1,3677
Now, list down the factors of 8832
:1,2,3,4,6,8,12,16,23,24,32,46,48,64,69,92,96,128,138,184,192,276,368,384,552,736,1104,1472,2208,2944,4416,8832
Greatest Common Factor
We found the factors 3677,8832 . The biggest common factor number is the GCF number.
So the greatest common factor 3677,8832 is 1.
Lets's calculate LCM of 533,7279
Given numbers has no common factors except 1. So, there LCM is their product i.e 3879707
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3879707
Therefore, the GCF of Fractions 3677/533,8832/7279 is 1/3879707
Least Common Multiple of 533,7279 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 533,7279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,7279) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(533,7279) x common factors =1 x 1 = 1
LCM(533,7279) = ( 533 × 7279 ) / 1
LCM(533,7279) = 3879707 / 1
LCM(533,7279) = 3879707
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FAQs on GCF of Fractions of 3677/533, 8832/7279
1. What is the HCF of 3677,8832?
The HCF of 3677,8832 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 3677/533, 8832/7279?
Answer: GCF of Numerators as per given numbers 3677/533, 8832/7279 is
GCF of Numerators i.e. for 3677,8832 is 1
LCM of denominators i.e. for 533,7279 is 3879707.
Thus, GCF of Fractions is 1/3879707.Finally, GCF of Fractions for 3677/533, 8832/7279 is 1/3879707.