GCF of 4808/101, 5707/1803
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4808/101, 5707/1803 i.e 1/182103 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4808/101, 5707/1803.
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 4808/101,5707/1803?
Given fractions are 4808/101,5707/1803
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 4808/101,5707/1803, numerators are 4808,5707
Denominators are 101,1803
The GCF of 4808,5707 is 1 .
LCM of 101,1803 is 182103.
The greatest common factor of 4808/101,5707/1803 = [GCF of 4808,5707]/[LCM of 101,1803]= 1/182103
Therefore, the GCF of 4808/101,5707/1803 is 1/182103.
To find the highest common factor of 4808,5707, we have to find the factors of both numbers and list the highest common factor.
The factors of 4808 are 1, 2, 4, 8, 601, 1202, 2404, 4808
The factors of 5707 are 1, 13, 439, 5707
The HCF of 4808,5707 is 1.
Lets's calculate GCF of 4808,5707
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4808,5707 By Matching Biggest Common Factor Method
Now, list down the factors of 4808
:1,2,4,8,601,1202,2404,4808
Now, list down the factors of 5707
:1,13,439,5707
Greatest Common Factor
We found the factors 4808,5707 . The biggest common factor number is the GCF number.
So the greatest common factor 4808,5707 is 1.
Lets's calculate LCM of 101,1803
Given numbers has no common factors except 1. So, there LCM is their product i.e 182103
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182103
Therefore, the GCF of Fractions 4808/101,5707/1803 is 1/182103
Least Common Multiple of 101,1803 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 101,1803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,1803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(101,1803) x common factors =1 x 1 = 1
LCM(101,1803) = ( 101 × 1803 ) / 1
LCM(101,1803) = 182103 / 1
LCM(101,1803) = 182103
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FAQs on GCF of Fractions of 4808/101, 5707/1803
1. What is the HCF of 4808,5707?
The HCF of 4808,5707 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 4808/101, 5707/1803?
Answer: GCF of Numerators as per given numbers 4808/101, 5707/1803 is
GCF of Numerators i.e. for 4808,5707 is 1
LCM of denominators i.e. for 101,1803 is 182103.
Thus, GCF of Fractions is 1/182103.Finally, GCF of Fractions for 4808/101, 5707/1803 is 1/182103.