GCF of 6500/689, 6070/3959
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6500/689, 6070/3959 i.e 10/2727751 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6500/689, 6070/3959.
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 6500/689,6070/3959?
Given fractions are 6500/689,6070/3959
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 6500/689,6070/3959, numerators are 6500,6070
Denominators are 689,3959
The GCF of 6500,6070 is 10 .
LCM of 689,3959 is 2727751.
The greatest common factor of 6500/689,6070/3959 = [GCF of 6500,6070]/[LCM of 689,3959]= 10/2727751
Therefore, the GCF of 6500/689,6070/3959 is 10/2727751.
To find the highest common factor of 6500,6070, we have to find the factors of both numbers and list the highest common factor.
The factors of 6500 are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 125, 130, 250, 260, 325, 500, 650, 1300, 1625, 3250, 6500
The factors of 6070 are 1, 2, 5, 10, 607, 1214, 3035, 6070
The HCF of 6500,6070 is 10.
Lets's calculate GCF of 6500,6070
| 2 | 6500, 6070 |
| 5 | 3250, 3035 |
| 650, 607 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 6500,6070 By Matching Biggest Common Factor Method
Now, list down the factors of 6500
:1,2,4,5,10,13,20,25,26,50,52,65,100,125,130,250,260,325,500,650,1300,1625,3250,6500
Now, list down the factors of 6070
:1,2,5,10,607,1214,3035,6070
Greatest Common Factor
We found the factors 6500,6070 . The biggest common factor number is the GCF number.
So the greatest common factor 6500,6070 is 10.
Lets's calculate LCM of 689,3959
Given numbers has no common factors except 1. So, there LCM is their product i.e 2727751
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2727751
Therefore, the GCF of Fractions 6500/689,6070/3959 is 10/2727751
Least Common Multiple of 689,3959 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 689,3959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(689,3959) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(689,3959) x common factors =1 x 1 = 1
LCM(689,3959) = ( 689 × 3959 ) / 1
LCM(689,3959) = 2727751 / 1
LCM(689,3959) = 2727751
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FAQs on GCF of Fractions of 6500/689, 6070/3959
1. What is the HCF of 6500,6070?
The HCF of 6500,6070 is 10
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 6500/689, 6070/3959?
Answer: GCF of Numerators as per given numbers 6500/689, 6070/3959 is
GCF of Numerators i.e. for 6500,6070 is 10
LCM of denominators i.e. for 689,3959 is 2727751.
Thus, GCF of Fractions is 10/2727751.Finally, GCF of Fractions for 6500/689, 6070/3959 is 10/2727751.