GCF of 2697/752, 6275/5350
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2697/752, 6275/5350 i.e 1/2011600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2697/752, 6275/5350.
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 2697/752,6275/5350?
Given fractions are 2697/752,6275/5350
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 2697/752,6275/5350, numerators are 2697,6275
Denominators are 752,5350
The GCF of 2697,6275 is 1 .
LCM of 752,5350 is 2011600.
The greatest common factor of 2697/752,6275/5350 = [GCF of 2697,6275]/[LCM of 752,5350]= 1/2011600
Therefore, the GCF of 2697/752,6275/5350 is 1/2011600.
To find the highest common factor of 2697,6275, we have to find the factors of both numbers and list the highest common factor.
The factors of 2697 are 1, 3, 29, 31, 87, 93, 899, 2697
The factors of 6275 are 1, 5, 25, 251, 1255, 6275
The HCF of 2697,6275 is 1.
Lets's calculate GCF of 2697,6275
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2697,6275 By Matching Biggest Common Factor Method
Now, list down the factors of 2697
:1,3,29,31,87,93,899,2697
Now, list down the factors of 6275
:1,5,25,251,1255,6275
Greatest Common Factor
We found the factors 2697,6275 . The biggest common factor number is the GCF number.
So the greatest common factor 2697,6275 is 1.
Lets's calculate LCM of 752,5350
| 2 | 752, 5350 |
| 376, 2675 |
∴ So the LCM of the given numbers is 2 x 376 x 2675 = 2011600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2011600
Therefore, the GCF of Fractions 2697/752,6275/5350 is 1/2011600
Least Common Multiple of 752,5350 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 752,5350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,5350) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(752,5350) x common factors =2 x 1 = 2
LCM(752,5350) = ( 752 × 5350 ) / 2
LCM(752,5350) = 4023200 / 2
LCM(752,5350) = 2011600
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FAQs on GCF of Fractions of 2697/752, 6275/5350
1. What is the HCF of 2697,6275?
The HCF of 2697,6275 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 2697/752, 6275/5350?
Answer: GCF of Numerators as per given numbers 2697/752, 6275/5350 is
GCF of Numerators i.e. for 2697,6275 is 1
LCM of denominators i.e. for 752,5350 is 2011600.
Thus, GCF of Fractions is 1/2011600.Finally, GCF of Fractions for 2697/752, 6275/5350 is 1/2011600.