GCF of 2068/509, 4757/149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2068/509, 4757/149 i.e 1/75841 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2068/509, 4757/149.
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 2068/509,4757/149?
Given fractions are 2068/509,4757/149
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 2068/509,4757/149, numerators are 2068,4757
Denominators are 509,149
The GCF of 2068,4757 is 1 .
LCM of 509,149 is 75841.
The greatest common factor of 2068/509,4757/149 = [GCF of 2068,4757]/[LCM of 509,149]= 1/75841
Therefore, the GCF of 2068/509,4757/149 is 1/75841.
To find the highest common factor of 2068,4757, we have to find the factors of both numbers and list the highest common factor.
The factors of 2068 are 1, 2, 4, 11, 22, 44, 47, 94, 188, 517, 1034, 2068
The factors of 4757 are 1, 67, 71, 4757
The HCF of 2068,4757 is 1.
Lets's calculate GCF of 2068,4757
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2068,4757 By Matching Biggest Common Factor Method
Now, list down the factors of 2068
:1,2,4,11,22,44,47,94,188,517,1034,2068
Now, list down the factors of 4757
:1,67,71,4757
Greatest Common Factor
We found the factors 2068,4757 . The biggest common factor number is the GCF number.
So the greatest common factor 2068,4757 is 1.
Lets's calculate LCM of 509,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 75841
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75841
Therefore, the GCF of Fractions 2068/509,4757/149 is 1/75841
Least Common Multiple of 509,149 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 509,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,149) x common factors =1 x 1 = 1
LCM(509,149) = ( 509 × 149 ) / 1
LCM(509,149) = 75841 / 1
LCM(509,149) = 75841
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FAQs on GCF of Fractions of 2068/509, 4757/149
1. What is the HCF of 2068,4757?
The HCF of 2068,4757 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 2068/509, 4757/149?
Answer: GCF of Numerators as per given numbers 2068/509, 4757/149 is
GCF of Numerators i.e. for 2068,4757 is 1
LCM of denominators i.e. for 509,149 is 75841.
Thus, GCF of Fractions is 1/75841.Finally, GCF of Fractions for 2068/509, 4757/149 is 1/75841.