Use our free GCF of Fractions Calculator tool to compute the GCF of 746/160, 688/577 i.e 2/92320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 746/160, 688/577.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 746/160,688/577
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 746/160,688/577, numerators are 746,688
Denominators are 160,577
The GCF of 746,688 is 2 .
LCM of 160,577 is 92320.
The greatest common factor of 746/160,688/577 = [GCF of 746,688]/[LCM of 160,577]= 2/92320
Therefore, the GCF of 746/160,688/577 is 2/92320.
To find the highest common factor of 746,688, we have to find the factors of both numbers and list the highest common factor.
The factors of 746 are 1, 2, 373, 746
The factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
The HCF of 746,688 is 2.
Lets's calculate GCF of 746,688
2 | 746, 688 |
373, 344 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 746
:1,2,373,746
Now, list down the factors of 688
:1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 746,688 . The biggest common factor number is the GCF number.
So the greatest common factor 746,688 is 2.
Lets's calculate LCM of 160,577
Given numbers has no common factors except 1. So, there LCM is their product i.e 92320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/92320
Therefore, the GCF of Fractions 746/160,688/577 is 2/92320
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 160,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(160,577) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(160,577) x common factors =1 x 1 = 1
LCM(160,577) = ( 160 × 577 ) / 1
LCM(160,577) = 92320 / 1
LCM(160,577) = 92320
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 746,688?
The HCF of 746,688 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 746/160, 688/577?
Answer: GCF of Numerators as per given numbers 746/160, 688/577 is
GCF of Numerators i.e. for 746,688 is 2
LCM of denominators i.e. for 160,577 is 92320.
Thus, GCF of Fractions is 2/92320.Finally, GCF of Fractions for 746/160, 688/577 is 2/92320.