GCF of 4994/757, 4138/5837
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4994/757, 4138/5837 i.e 2/4418609 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4994/757, 4138/5837.
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 4994/757,4138/5837?
Given fractions are 4994/757,4138/5837
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 4994/757,4138/5837, numerators are 4994,4138
Denominators are 757,5837
The GCF of 4994,4138 is 2 .
LCM of 757,5837 is 4418609.
The greatest common factor of 4994/757,4138/5837 = [GCF of 4994,4138]/[LCM of 757,5837]= 2/4418609
Therefore, the GCF of 4994/757,4138/5837 is 2/4418609.
To find the highest common factor of 4994,4138, we have to find the factors of both numbers and list the highest common factor.
The factors of 4994 are 1, 2, 11, 22, 227, 454, 2497, 4994
The factors of 4138 are 1, 2, 2069, 4138
The HCF of 4994,4138 is 2.
Lets's calculate GCF of 4994,4138
| 2 | 4994, 4138 |
| 2497, 2069 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4994,4138 By Matching Biggest Common Factor Method
Now, list down the factors of 4994
:1,2,11,22,227,454,2497,4994
Now, list down the factors of 4138
:1,2,2069,4138
Greatest Common Factor
We found the factors 4994,4138 . The biggest common factor number is the GCF number.
So the greatest common factor 4994,4138 is 2.
Lets's calculate LCM of 757,5837
Given numbers has no common factors except 1. So, there LCM is their product i.e 4418609
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4418609
Therefore, the GCF of Fractions 4994/757,4138/5837 is 2/4418609
Least Common Multiple of 757,5837 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 757,5837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,5837) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,5837) x common factors =1 x 1 = 1
LCM(757,5837) = ( 757 × 5837 ) / 1
LCM(757,5837) = 4418609 / 1
LCM(757,5837) = 4418609
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FAQs on GCF of Fractions of 4994/757, 4138/5837
1. What is the HCF of 4994,4138?
The HCF of 4994,4138 is 2
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 4994/757, 4138/5837?
Answer: GCF of Numerators as per given numbers 4994/757, 4138/5837 is
GCF of Numerators i.e. for 4994,4138 is 2
LCM of denominators i.e. for 757,5837 is 4418609.
Thus, GCF of Fractions is 2/4418609.Finally, GCF of Fractions for 4994/757, 4138/5837 is 2/4418609.