Use our free GCF of Fractions Calculator tool to compute the GCF of 7738/753, 2564/3734 i.e 2/2811702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7738/753, 2564/3734.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7738/753,2564/3734
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 7738/753,2564/3734, numerators are 7738,2564
Denominators are 753,3734
The GCF of 7738,2564 is 2 .
LCM of 753,3734 is 2811702.
The greatest common factor of 7738/753,2564/3734 = [GCF of 7738,2564]/[LCM of 753,3734]= 2/2811702
Therefore, the GCF of 7738/753,2564/3734 is 2/2811702.
To find the highest common factor of 7738,2564, we have to find the factors of both numbers and list the highest common factor.
The factors of 7738 are 1, 2, 53, 73, 106, 146, 3869, 7738
The factors of 2564 are 1, 2, 4, 641, 1282, 2564
The HCF of 7738,2564 is 2.
Lets's calculate GCF of 7738,2564
2 | 7738, 2564 |
3869, 1282 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 7738
:1,2,53,73,106,146,3869,7738
Now, list down the factors of 2564
:1,2,4,641,1282,2564
Greatest Common Factor
We found the factors 7738,2564 . The biggest common factor number is the GCF number.
So the greatest common factor 7738,2564 is 2.
Lets's calculate LCM of 753,3734
Given numbers has no common factors except 1. So, there LCM is their product i.e 2811702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2811702
Therefore, the GCF of Fractions 7738/753,2564/3734 is 2/2811702
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 753,3734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(753,3734) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(753,3734) x common factors =1 x 1 = 1
LCM(753,3734) = ( 753 × 3734 ) / 1
LCM(753,3734) = 2811702 / 1
LCM(753,3734) = 2811702
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7738,2564?
The HCF of 7738,2564 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 7738/753, 2564/3734?
Answer: GCF of Numerators as per given numbers 7738/753, 2564/3734 is
GCF of Numerators i.e. for 7738,2564 is 2
LCM of denominators i.e. for 753,3734 is 2811702.
Thus, GCF of Fractions is 2/2811702.Finally, GCF of Fractions for 7738/753, 2564/3734 is 2/2811702.