GCF of 8149/642, 8260/5570
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8149/642, 8260/5570 i.e 1/1787970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8149/642, 8260/5570.
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 8149/642,8260/5570?
Given fractions are 8149/642,8260/5570
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 8149/642,8260/5570, numerators are 8149,8260
Denominators are 642,5570
The GCF of 8149,8260 is 1 .
LCM of 642,5570 is 1787970.
The greatest common factor of 8149/642,8260/5570 = [GCF of 8149,8260]/[LCM of 642,5570]= 1/1787970
Therefore, the GCF of 8149/642,8260/5570 is 1/1787970.
To find the highest common factor of 8149,8260, we have to find the factors of both numbers and list the highest common factor.
The factors of 8149 are 1, 29, 281, 8149
The factors of 8260 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 59, 70, 118, 140, 236, 295, 413, 590, 826, 1180, 1652, 2065, 4130, 8260
The HCF of 8149,8260 is 1.
Lets's calculate GCF of 8149,8260
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8149,8260 By Matching Biggest Common Factor Method
Now, list down the factors of 8149
:1,29,281,8149
Now, list down the factors of 8260
:1,2,4,5,7,10,14,20,28,35,59,70,118,140,236,295,413,590,826,1180,1652,2065,4130,8260
Greatest Common Factor
We found the factors 8149,8260 . The biggest common factor number is the GCF number.
So the greatest common factor 8149,8260 is 1.
Lets's calculate LCM of 642,5570
| 2 | 642, 5570 |
| 321, 2785 |
∴ So the LCM of the given numbers is 2 x 321 x 2785 = 1787970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1787970
Therefore, the GCF of Fractions 8149/642,8260/5570 is 1/1787970
Least Common Multiple of 642,5570 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 642,5570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,5570) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(642,5570) x common factors =2 x 1 = 2
LCM(642,5570) = ( 642 × 5570 ) / 2
LCM(642,5570) = 3575940 / 2
LCM(642,5570) = 1787970
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FAQs on GCF of Fractions of 8149/642, 8260/5570
1. What is the HCF of 8149,8260?
The HCF of 8149,8260 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 8149/642, 8260/5570?
Answer: GCF of Numerators as per given numbers 8149/642, 8260/5570 is
GCF of Numerators i.e. for 8149,8260 is 1
LCM of denominators i.e. for 642,5570 is 1787970.
Thus, GCF of Fractions is 1/1787970.Finally, GCF of Fractions for 8149/642, 8260/5570 is 1/1787970.