GCF of 68/705, 7787/3574
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 68/705, 7787/3574 i.e 1/2519670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 68/705, 7787/3574.
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 68/705,7787/3574?
Given fractions are 68/705,7787/3574
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 68/705,7787/3574, numerators are 68,7787
Denominators are 705,3574
The GCF of 68,7787 is 1 .
LCM of 705,3574 is 2519670.
The greatest common factor of 68/705,7787/3574 = [GCF of 68,7787]/[LCM of 705,3574]= 1/2519670
Therefore, the GCF of 68/705,7787/3574 is 1/2519670.
To find the highest common factor of 68,7787, we have to find the factors of both numbers and list the highest common factor.
The factors of 68 are 1, 2, 4, 17, 34, 68
The factors of 7787 are 1, 13, 599, 7787
The HCF of 68,7787 is 1.
Lets's calculate GCF of 68,7787
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 68,7787 By Matching Biggest Common Factor Method
Now, list down the factors of 68
:1,2,4,17,34,68
Now, list down the factors of 7787
:1,13,599,7787
Greatest Common Factor
We found the factors 68,7787 . The biggest common factor number is the GCF number.
So the greatest common factor 68,7787 is 1.
Lets's calculate LCM of 705,3574
Given numbers has no common factors except 1. So, there LCM is their product i.e 2519670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2519670
Therefore, the GCF of Fractions 68/705,7787/3574 is 1/2519670
Least Common Multiple of 705,3574 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 705,3574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,3574) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(705,3574) x common factors =1 x 1 = 1
LCM(705,3574) = ( 705 × 3574 ) / 1
LCM(705,3574) = 2519670 / 1
LCM(705,3574) = 2519670
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FAQs on GCF of Fractions of 68/705, 7787/3574
1. What is the HCF of 68,7787?
The HCF of 68,7787 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 68/705, 7787/3574?
Answer: GCF of Numerators as per given numbers 68/705, 7787/3574 is
GCF of Numerators i.e. for 68,7787 is 1
LCM of denominators i.e. for 705,3574 is 2519670.
Thus, GCF of Fractions is 1/2519670.Finally, GCF of Fractions for 68/705, 7787/3574 is 1/2519670.