Use our free GCF of Fractions Calculator tool to compute the GCF of 530/67, 762/906 i.e 2/60702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 530/67, 762/906.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 530/67,762/906
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 530/67,762/906, numerators are 530,762
Denominators are 67,906
The GCF of 530,762 is 2 .
LCM of 67,906 is 60702.
The greatest common factor of 530/67,762/906 = [GCF of 530,762]/[LCM of 67,906]= 2/60702
Therefore, the GCF of 530/67,762/906 is 2/60702.
To find the highest common factor of 530,762, we have to find the factors of both numbers and list the highest common factor.
The factors of 530 are 1, 2, 5, 10, 53, 106, 265, 530
The factors of 762 are 1, 2, 3, 6, 127, 254, 381, 762
The HCF of 530,762 is 2.
Lets's calculate GCF of 530,762
2 | 530, 762 |
265, 381 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 530
:1,2,5,10,53,106,265,530
Now, list down the factors of 762
:1,2,3,6,127,254,381,762
Greatest Common Factor
We found the factors 530,762 . The biggest common factor number is the GCF number.
So the greatest common factor 530,762 is 2.
Lets's calculate LCM of 67,906
Given numbers has no common factors except 1. So, there LCM is their product i.e 60702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/60702
Therefore, the GCF of Fractions 530/67,762/906 is 2/60702
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 67,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,906) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,906) x common factors =1 x 1 = 1
LCM(67,906) = ( 67 × 906 ) / 1
LCM(67,906) = 60702 / 1
LCM(67,906) = 60702
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 530,762?
The HCF of 530,762 is 2
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 530/67, 762/906?
Answer: GCF of Numerators as per given numbers 530/67, 762/906 is
GCF of Numerators i.e. for 530,762 is 2
LCM of denominators i.e. for 67,906 is 60702.
Thus, GCF of Fractions is 2/60702.Finally, GCF of Fractions for 530/67, 762/906 is 2/60702.