GCF of 7640/241, 5230/687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7640/241, 5230/687 i.e 10/165567 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7640/241, 5230/687.
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 7640/241,5230/687?
Given fractions are 7640/241,5230/687
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 7640/241,5230/687, numerators are 7640,5230
Denominators are 241,687
The GCF of 7640,5230 is 10 .
LCM of 241,687 is 165567.
The greatest common factor of 7640/241,5230/687 = [GCF of 7640,5230]/[LCM of 241,687]= 10/165567
Therefore, the GCF of 7640/241,5230/687 is 10/165567.
To find the highest common factor of 7640,5230, we have to find the factors of both numbers and list the highest common factor.
The factors of 7640 are 1, 2, 4, 5, 8, 10, 20, 40, 191, 382, 764, 955, 1528, 1910, 3820, 7640
The factors of 5230 are 1, 2, 5, 10, 523, 1046, 2615, 5230
The HCF of 7640,5230 is 10.
Lets's calculate GCF of 7640,5230
| 2 | 7640, 5230 |
| 5 | 3820, 2615 |
| 764, 523 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 7640,5230 By Matching Biggest Common Factor Method
Now, list down the factors of 7640
:1,2,4,5,8,10,20,40,191,382,764,955,1528,1910,3820,7640
Now, list down the factors of 5230
:1,2,5,10,523,1046,2615,5230
Greatest Common Factor
We found the factors 7640,5230 . The biggest common factor number is the GCF number.
So the greatest common factor 7640,5230 is 10.
Lets's calculate LCM of 241,687
Given numbers has no common factors except 1. So, there LCM is their product i.e 165567
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/165567
Therefore, the GCF of Fractions 7640/241,5230/687 is 10/165567
Least Common Multiple of 241,687 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 241,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,687) x common factors =1 x 1 = 1
LCM(241,687) = ( 241 × 687 ) / 1
LCM(241,687) = 165567 / 1
LCM(241,687) = 165567
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FAQs on GCF of Fractions of 7640/241, 5230/687
1. What is the HCF of 7640,5230?
The HCF of 7640,5230 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 7640/241, 5230/687?
Answer: GCF of Numerators as per given numbers 7640/241, 5230/687 is
GCF of Numerators i.e. for 7640,5230 is 10
LCM of denominators i.e. for 241,687 is 165567.
Thus, GCF of Fractions is 10/165567.Finally, GCF of Fractions for 7640/241, 5230/687 is 10/165567.