Use our free GCF of Fractions Calculator tool to compute the GCF of 761/564, 685/506 i.e 1/142692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 761/564, 685/506.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 761/564,685/506
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 761/564,685/506, numerators are 761,685
Denominators are 564,506
The GCF of 761,685 is 1 .
LCM of 564,506 is 142692.
The greatest common factor of 761/564,685/506 = [GCF of 761,685]/[LCM of 564,506]= 1/142692
Therefore, the GCF of 761/564,685/506 is 1/142692.
To find the highest common factor of 761,685, we have to find the factors of both numbers and list the highest common factor.
The factors of 761 are 1, 761
The factors of 685 are 1, 5, 137, 685
The HCF of 761,685 is 1.
Lets's calculate GCF of 761,685
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 761
:1,761
Now, list down the factors of 685
:1,5,137,685
Greatest Common Factor
We found the factors 761,685 . The biggest common factor number is the GCF number.
So the greatest common factor 761,685 is 1.
Lets's calculate LCM of 564,506
2 | 564, 506 |
282, 253 |
∴ So the LCM of the given numbers is 2 x 282 x 253 = 142692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142692
Therefore, the GCF of Fractions 761/564,685/506 is 1/142692
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 564,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,506) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(564,506) x common factors =2 x 1 = 2
LCM(564,506) = ( 564 × 506 ) / 2
LCM(564,506) = 285384 / 2
LCM(564,506) = 142692
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 761,685?
The HCF of 761,685 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 761/564, 685/506?
Answer: GCF of Numerators as per given numbers 761/564, 685/506 is
GCF of Numerators i.e. for 761,685 is 1
LCM of denominators i.e. for 564,506 is 142692.
Thus, GCF of Fractions is 1/142692.Finally, GCF of Fractions for 761/564, 685/506 is 1/142692.