GCF of 5010/141, 3088/962
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5010/141, 3088/962 i.e 2/135642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5010/141, 3088/962.
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 5010/141,3088/962?
Given fractions are 5010/141,3088/962
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 5010/141,3088/962, numerators are 5010,3088
Denominators are 141,962
The GCF of 5010,3088 is 2 .
LCM of 141,962 is 135642.
The greatest common factor of 5010/141,3088/962 = [GCF of 5010,3088]/[LCM of 141,962]= 2/135642
Therefore, the GCF of 5010/141,3088/962 is 2/135642.
To find the highest common factor of 5010,3088, we have to find the factors of both numbers and list the highest common factor.
The factors of 5010 are 1, 2, 3, 5, 6, 10, 15, 30, 167, 334, 501, 835, 1002, 1670, 2505, 5010
The factors of 3088 are 1, 2, 4, 8, 16, 193, 386, 772, 1544, 3088
The HCF of 5010,3088 is 2.
Lets's calculate GCF of 5010,3088
| 2 | 5010, 3088 |
| 2505, 1544 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5010,3088 By Matching Biggest Common Factor Method
Now, list down the factors of 5010
:1,2,3,5,6,10,15,30,167,334,501,835,1002,1670,2505,5010
Now, list down the factors of 3088
:1,2,4,8,16,193,386,772,1544,3088
Greatest Common Factor
We found the factors 5010,3088 . The biggest common factor number is the GCF number.
So the greatest common factor 5010,3088 is 2.
Lets's calculate LCM of 141,962
Given numbers has no common factors except 1. So, there LCM is their product i.e 135642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/135642
Therefore, the GCF of Fractions 5010/141,3088/962 is 2/135642
Least Common Multiple of 141,962 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 141,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(141,962) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(141,962) x common factors =1 x 1 = 1
LCM(141,962) = ( 141 × 962 ) / 1
LCM(141,962) = 135642 / 1
LCM(141,962) = 135642
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FAQs on GCF of Fractions of 5010/141, 3088/962
1. What is the HCF of 5010,3088?
The HCF of 5010,3088 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 5010/141, 3088/962?
Answer: GCF of Numerators as per given numbers 5010/141, 3088/962 is
GCF of Numerators i.e. for 5010,3088 is 2
LCM of denominators i.e. for 141,962 is 135642.
Thus, GCF of Fractions is 2/135642.Finally, GCF of Fractions for 5010/141, 3088/962 is 2/135642.