GCF of 275/67, 754/700
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 275/67, 754/700 i.e 1/46900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 275/67, 754/700.
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 275/67,754/700?
Given fractions are 275/67,754/700
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 275/67,754/700, numerators are 275,754
Denominators are 67,700
The GCF of 275,754 is 1 .
LCM of 67,700 is 46900.
The greatest common factor of 275/67,754/700 = [GCF of 275,754]/[LCM of 67,700]= 1/46900
Therefore, the GCF of 275/67,754/700 is 1/46900.
To find the highest common factor of 275,754, we have to find the factors of both numbers and list the highest common factor.
The factors of 275 are 1, 5, 11, 25, 55, 275
The factors of 754 are 1, 2, 13, 26, 29, 58, 377, 754
The HCF of 275,754 is 1.
Lets's calculate GCF of 275,754
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 275,754 By Matching Biggest Common Factor Method
Now, list down the factors of 275
:1,5,11,25,55,275
Now, list down the factors of 754
:1,2,13,26,29,58,377,754
Greatest Common Factor
We found the factors 275,754 . The biggest common factor number is the GCF number.
So the greatest common factor 275,754 is 1.
Lets's calculate LCM of 67,700
Given numbers has no common factors except 1. So, there LCM is their product i.e 46900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46900
Therefore, the GCF of Fractions 275/67,754/700 is 1/46900
Least Common Multiple of 67,700 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 67,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,700) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,700) x common factors =1 x 1 = 1
LCM(67,700) = ( 67 × 700 ) / 1
LCM(67,700) = 46900 / 1
LCM(67,700) = 46900
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FAQs on GCF of Fractions of 275/67, 754/700
1. What is the HCF of 275,754?
The HCF of 275,754 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 275/67, 754/700?
Answer: GCF of Numerators as per given numbers 275/67, 754/700 is
GCF of Numerators i.e. for 275,754 is 1
LCM of denominators i.e. for 67,700 is 46900.
Thus, GCF of Fractions is 1/46900.Finally, GCF of Fractions for 275/67, 754/700 is 1/46900.