GCF of 7779/735, 7541/105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7779/735, 7541/105 i.e 1/735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7779/735, 7541/105.
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 7779/735,7541/105?
Given fractions are 7779/735,7541/105
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 7779/735,7541/105, numerators are 7779,7541
Denominators are 735,105
The GCF of 7779,7541 is 1 .
LCM of 735,105 is 735.
The greatest common factor of 7779/735,7541/105 = [GCF of 7779,7541]/[LCM of 735,105]= 1/735
Therefore, the GCF of 7779/735,7541/105 is 1/735.
To find the highest common factor of 7779,7541, we have to find the factors of both numbers and list the highest common factor.
The factors of 7779 are 1, 3, 2593, 7779
The factors of 7541 are 1, 7541
The HCF of 7779,7541 is 1.
Lets's calculate GCF of 7779,7541
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7779,7541 By Matching Biggest Common Factor Method
Now, list down the factors of 7779
:1,3,2593,7779
Now, list down the factors of 7541
:1,7541
Greatest Common Factor
We found the factors 7779,7541 . The biggest common factor number is the GCF number.
So the greatest common factor 7779,7541 is 1.
Lets's calculate LCM of 735,105
| 3 | 735, 105 |
| 5 | 245, 35 |
| 7 | 49, 7 |
| 1, 7 |
∴ So the LCM of the given numbers is 3 x 5 x 7 x 1 x 7 = 735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/735
Therefore, the GCF of Fractions 7779/735,7541/105 is 1/735
Least Common Multiple of 735,105 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 735,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,105) = 105
common factors(in case of two or more numbers have common factors) = 1
GCF(735,105) x common factors =105 x 1 = 105
LCM(735,105) = ( 735 × 105 ) / 105
LCM(735,105) = 77175 / 105
LCM(735,105) = 735
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FAQs on GCF of Fractions of 7779/735, 7541/105
1. What is the HCF of 7779,7541?
The HCF of 7779,7541 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 7779/735, 7541/105?
Answer: GCF of Numerators as per given numbers 7779/735, 7541/105 is
GCF of Numerators i.e. for 7779,7541 is 1
LCM of denominators i.e. for 735,105 is 735.
Thus, GCF of Fractions is 1/735.Finally, GCF of Fractions for 7779/735, 7541/105 is 1/735.