GCF of 6507/781, 9774/752
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6507/781, 9774/752 i.e 27/587312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6507/781, 9774/752.
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 6507/781,9774/752?
Given fractions are 6507/781,9774/752
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 6507/781,9774/752, numerators are 6507,9774
Denominators are 781,752
The GCF of 6507,9774 is 27 .
LCM of 781,752 is 587312.
The greatest common factor of 6507/781,9774/752 = [GCF of 6507,9774]/[LCM of 781,752]= 27/587312
Therefore, the GCF of 6507/781,9774/752 is 27/587312.
To find the highest common factor of 6507,9774, we have to find the factors of both numbers and list the highest common factor.
The factors of 6507 are 1, 3, 9, 27, 241, 723, 2169, 6507
The factors of 9774 are 1, 2, 3, 6, 9, 18, 27, 54, 181, 362, 543, 1086, 1629, 3258, 4887, 9774
The HCF of 6507,9774 is 27.
Lets's calculate GCF of 6507,9774
| 3 | 6507, 9774 |
| 3 | 2169, 3258 |
| 3 | 723, 1086 |
| 241, 362 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 6507,9774 By Matching Biggest Common Factor Method
Now, list down the factors of 6507
:1,3,9,27,241,723,2169,6507
Now, list down the factors of 9774
:1,2,3,6,9,18,27,54,181,362,543,1086,1629,3258,4887,9774
Greatest Common Factor
We found the factors 6507,9774 . The biggest common factor number is the GCF number.
So the greatest common factor 6507,9774 is 27.
Lets's calculate LCM of 781,752
Given numbers has no common factors except 1. So, there LCM is their product i.e 587312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/587312
Therefore, the GCF of Fractions 6507/781,9774/752 is 27/587312
Least Common Multiple of 781,752 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 781,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(781,752) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(781,752) x common factors =1 x 1 = 1
LCM(781,752) = ( 781 × 752 ) / 1
LCM(781,752) = 587312 / 1
LCM(781,752) = 587312
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FAQs on GCF of Fractions of 6507/781, 9774/752
1. What is the HCF of 6507,9774?
The HCF of 6507,9774 is 27
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 6507/781, 9774/752?
Answer: GCF of Numerators as per given numbers 6507/781, 9774/752 is
GCF of Numerators i.e. for 6507,9774 is 27
LCM of denominators i.e. for 781,752 is 587312.
Thus, GCF of Fractions is 27/587312.Finally, GCF of Fractions for 6507/781, 9774/752 is 27/587312.