GCF of 5053/698, 7416/7421
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5053/698, 7416/7421 i.e 1/5179858 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5053/698, 7416/7421.
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 5053/698,7416/7421?
Given fractions are 5053/698,7416/7421
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 5053/698,7416/7421, numerators are 5053,7416
Denominators are 698,7421
The GCF of 5053,7416 is 1 .
LCM of 698,7421 is 5179858.
The greatest common factor of 5053/698,7416/7421 = [GCF of 5053,7416]/[LCM of 698,7421]= 1/5179858
Therefore, the GCF of 5053/698,7416/7421 is 1/5179858.
To find the highest common factor of 5053,7416, we have to find the factors of both numbers and list the highest common factor.
The factors of 5053 are 1, 31, 163, 5053
The factors of 7416 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 103, 206, 309, 412, 618, 824, 927, 1236, 1854, 2472, 3708, 7416
The HCF of 5053,7416 is 1.
Lets's calculate GCF of 5053,7416
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5053,7416 By Matching Biggest Common Factor Method
Now, list down the factors of 5053
:1,31,163,5053
Now, list down the factors of 7416
:1,2,3,4,6,8,9,12,18,24,36,72,103,206,309,412,618,824,927,1236,1854,2472,3708,7416
Greatest Common Factor
We found the factors 5053,7416 . The biggest common factor number is the GCF number.
So the greatest common factor 5053,7416 is 1.
Lets's calculate LCM of 698,7421
Given numbers has no common factors except 1. So, there LCM is their product i.e 5179858
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5179858
Therefore, the GCF of Fractions 5053/698,7416/7421 is 1/5179858
Least Common Multiple of 698,7421 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 698,7421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,7421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(698,7421) x common factors =1 x 1 = 1
LCM(698,7421) = ( 698 × 7421 ) / 1
LCM(698,7421) = 5179858 / 1
LCM(698,7421) = 5179858
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FAQs on GCF of Fractions of 5053/698, 7416/7421
1. What is the HCF of 5053,7416?
The HCF of 5053,7416 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 5053/698, 7416/7421?
Answer: GCF of Numerators as per given numbers 5053/698, 7416/7421 is
GCF of Numerators i.e. for 5053,7416 is 1
LCM of denominators i.e. for 698,7421 is 5179858.
Thus, GCF of Fractions is 1/5179858.Finally, GCF of Fractions for 5053/698, 7416/7421 is 1/5179858.