GCF of 5203/848, 5470/322
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5203/848, 5470/322 i.e 1/136528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5203/848, 5470/322.
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 5203/848,5470/322?
Given fractions are 5203/848,5470/322
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 5203/848,5470/322, numerators are 5203,5470
Denominators are 848,322
The GCF of 5203,5470 is 1 .
LCM of 848,322 is 136528.
The greatest common factor of 5203/848,5470/322 = [GCF of 5203,5470]/[LCM of 848,322]= 1/136528
Therefore, the GCF of 5203/848,5470/322 is 1/136528.
To find the highest common factor of 5203,5470, we have to find the factors of both numbers and list the highest common factor.
The factors of 5203 are 1, 11, 43, 121, 473, 5203
The factors of 5470 are 1, 2, 5, 10, 547, 1094, 2735, 5470
The HCF of 5203,5470 is 1.
Lets's calculate GCF of 5203,5470
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5203,5470 By Matching Biggest Common Factor Method
Now, list down the factors of 5203
:1,11,43,121,473,5203
Now, list down the factors of 5470
:1,2,5,10,547,1094,2735,5470
Greatest Common Factor
We found the factors 5203,5470 . The biggest common factor number is the GCF number.
So the greatest common factor 5203,5470 is 1.
Lets's calculate LCM of 848,322
| 2 | 848, 322 |
| 424, 161 |
∴ So the LCM of the given numbers is 2 x 424 x 161 = 136528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136528
Therefore, the GCF of Fractions 5203/848,5470/322 is 1/136528
Least Common Multiple of 848,322 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 848,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(848,322) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(848,322) x common factors =2 x 1 = 2
LCM(848,322) = ( 848 × 322 ) / 2
LCM(848,322) = 273056 / 2
LCM(848,322) = 136528
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FAQs on GCF of Fractions of 5203/848, 5470/322
1. What is the HCF of 5203,5470?
The HCF of 5203,5470 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 5203/848, 5470/322?
Answer: GCF of Numerators as per given numbers 5203/848, 5470/322 is
GCF of Numerators i.e. for 5203,5470 is 1
LCM of denominators i.e. for 848,322 is 136528.
Thus, GCF of Fractions is 1/136528.Finally, GCF of Fractions for 5203/848, 5470/322 is 1/136528.