GCF of 6572/158, 1869/7870
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6572/158, 1869/7870 i.e 1/621730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6572/158, 1869/7870.
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 6572/158,1869/7870?
Given fractions are 6572/158,1869/7870
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 6572/158,1869/7870, numerators are 6572,1869
Denominators are 158,7870
The GCF of 6572,1869 is 1 .
LCM of 158,7870 is 621730.
The greatest common factor of 6572/158,1869/7870 = [GCF of 6572,1869]/[LCM of 158,7870]= 1/621730
Therefore, the GCF of 6572/158,1869/7870 is 1/621730.
To find the highest common factor of 6572,1869, we have to find the factors of both numbers and list the highest common factor.
The factors of 6572 are 1, 2, 4, 31, 53, 62, 106, 124, 212, 1643, 3286, 6572
The factors of 1869 are 1, 3, 7, 21, 89, 267, 623, 1869
The HCF of 6572,1869 is 1.
Lets's calculate GCF of 6572,1869
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6572,1869 By Matching Biggest Common Factor Method
Now, list down the factors of 6572
:1,2,4,31,53,62,106,124,212,1643,3286,6572
Now, list down the factors of 1869
:1,3,7,21,89,267,623,1869
Greatest Common Factor
We found the factors 6572,1869 . The biggest common factor number is the GCF number.
So the greatest common factor 6572,1869 is 1.
Lets's calculate LCM of 158,7870
| 2 | 158, 7870 |
| 79, 3935 |
∴ So the LCM of the given numbers is 2 x 79 x 3935 = 621730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/621730
Therefore, the GCF of Fractions 6572/158,1869/7870 is 1/621730
Least Common Multiple of 158,7870 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 158,7870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,7870) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(158,7870) x common factors =2 x 1 = 2
LCM(158,7870) = ( 158 × 7870 ) / 2
LCM(158,7870) = 1243460 / 2
LCM(158,7870) = 621730
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FAQs on GCF of Fractions of 6572/158, 1869/7870
1. What is the HCF of 6572,1869?
The HCF of 6572,1869 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 6572/158, 1869/7870?
Answer: GCF of Numerators as per given numbers 6572/158, 1869/7870 is
GCF of Numerators i.e. for 6572,1869 is 1
LCM of denominators i.e. for 158,7870 is 621730.
Thus, GCF of Fractions is 1/621730.Finally, GCF of Fractions for 6572/158, 1869/7870 is 1/621730.