GCF of 4870/678, 5871/5272
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4870/678, 5871/5272 i.e 1/1787208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4870/678, 5871/5272.
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 4870/678,5871/5272?
Given fractions are 4870/678,5871/5272
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 4870/678,5871/5272, numerators are 4870,5871
Denominators are 678,5272
The GCF of 4870,5871 is 1 .
LCM of 678,5272 is 1787208.
The greatest common factor of 4870/678,5871/5272 = [GCF of 4870,5871]/[LCM of 678,5272]= 1/1787208
Therefore, the GCF of 4870/678,5871/5272 is 1/1787208.
To find the highest common factor of 4870,5871, we have to find the factors of both numbers and list the highest common factor.
The factors of 4870 are 1, 2, 5, 10, 487, 974, 2435, 4870
The factors of 5871 are 1, 3, 19, 57, 103, 309, 1957, 5871
The HCF of 4870,5871 is 1.
Lets's calculate GCF of 4870,5871
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4870,5871 By Matching Biggest Common Factor Method
Now, list down the factors of 4870
:1,2,5,10,487,974,2435,4870
Now, list down the factors of 5871
:1,3,19,57,103,309,1957,5871
Greatest Common Factor
We found the factors 4870,5871 . The biggest common factor number is the GCF number.
So the greatest common factor 4870,5871 is 1.
Lets's calculate LCM of 678,5272
| 2 | 678, 5272 |
| 339, 2636 |
∴ So the LCM of the given numbers is 2 x 339 x 2636 = 1787208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1787208
Therefore, the GCF of Fractions 4870/678,5871/5272 is 1/1787208
Least Common Multiple of 678,5272 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 678,5272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,5272) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(678,5272) x common factors =2 x 1 = 2
LCM(678,5272) = ( 678 × 5272 ) / 2
LCM(678,5272) = 3574416 / 2
LCM(678,5272) = 1787208
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FAQs on GCF of Fractions of 4870/678, 5871/5272
1. What is the HCF of 4870,5871?
The HCF of 4870,5871 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 4870/678, 5871/5272?
Answer: GCF of Numerators as per given numbers 4870/678, 5871/5272 is
GCF of Numerators i.e. for 4870,5871 is 1
LCM of denominators i.e. for 678,5272 is 1787208.
Thus, GCF of Fractions is 1/1787208.Finally, GCF of Fractions for 4870/678, 5871/5272 is 1/1787208.