GCF of 3710/761, 6304/735
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3710/761, 6304/735 i.e 2/559335 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3710/761, 6304/735.
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 3710/761,6304/735?
Given fractions are 3710/761,6304/735
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 3710/761,6304/735, numerators are 3710,6304
Denominators are 761,735
The GCF of 3710,6304 is 2 .
LCM of 761,735 is 559335.
The greatest common factor of 3710/761,6304/735 = [GCF of 3710,6304]/[LCM of 761,735]= 2/559335
Therefore, the GCF of 3710/761,6304/735 is 2/559335.
To find the highest common factor of 3710,6304, we have to find the factors of both numbers and list the highest common factor.
The factors of 3710 are 1, 2, 5, 7, 10, 14, 35, 53, 70, 106, 265, 371, 530, 742, 1855, 3710
The factors of 6304 are 1, 2, 4, 8, 16, 32, 197, 394, 788, 1576, 3152, 6304
The HCF of 3710,6304 is 2.
Lets's calculate GCF of 3710,6304
| 2 | 3710, 6304 |
| 1855, 3152 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3710,6304 By Matching Biggest Common Factor Method
Now, list down the factors of 3710
:1,2,5,7,10,14,35,53,70,106,265,371,530,742,1855,3710
Now, list down the factors of 6304
:1,2,4,8,16,32,197,394,788,1576,3152,6304
Greatest Common Factor
We found the factors 3710,6304 . The biggest common factor number is the GCF number.
So the greatest common factor 3710,6304 is 2.
Lets's calculate LCM of 761,735
Given numbers has no common factors except 1. So, there LCM is their product i.e 559335
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/559335
Therefore, the GCF of Fractions 3710/761,6304/735 is 2/559335
Least Common Multiple of 761,735 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 761,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(761,735) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(761,735) x common factors =1 x 1 = 1
LCM(761,735) = ( 761 × 735 ) / 1
LCM(761,735) = 559335 / 1
LCM(761,735) = 559335
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FAQs on GCF of Fractions of 3710/761, 6304/735
1. What is the HCF of 3710,6304?
The HCF of 3710,6304 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 3710/761, 6304/735?
Answer: GCF of Numerators as per given numbers 3710/761, 6304/735 is
GCF of Numerators i.e. for 3710,6304 is 2
LCM of denominators i.e. for 761,735 is 559335.
Thus, GCF of Fractions is 2/559335.Finally, GCF of Fractions for 3710/761, 6304/735 is 2/559335.