GCF of 2651/535, 1572/204
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2651/535, 1572/204 i.e 1/109140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2651/535, 1572/204.
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 2651/535,1572/204?
Given fractions are 2651/535,1572/204
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 2651/535,1572/204, numerators are 2651,1572
Denominators are 535,204
The GCF of 2651,1572 is 1 .
LCM of 535,204 is 109140.
The greatest common factor of 2651/535,1572/204 = [GCF of 2651,1572]/[LCM of 535,204]= 1/109140
Therefore, the GCF of 2651/535,1572/204 is 1/109140.
To find the highest common factor of 2651,1572, we have to find the factors of both numbers and list the highest common factor.
The factors of 2651 are 1, 11, 241, 2651
The factors of 1572 are 1, 2, 3, 4, 6, 12, 131, 262, 393, 524, 786, 1572
The HCF of 2651,1572 is 1.
Lets's calculate GCF of 2651,1572
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2651,1572 By Matching Biggest Common Factor Method
Now, list down the factors of 2651
:1,11,241,2651
Now, list down the factors of 1572
:1,2,3,4,6,12,131,262,393,524,786,1572
Greatest Common Factor
We found the factors 2651,1572 . The biggest common factor number is the GCF number.
So the greatest common factor 2651,1572 is 1.
Lets's calculate LCM of 535,204
Given numbers has no common factors except 1. So, there LCM is their product i.e 109140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109140
Therefore, the GCF of Fractions 2651/535,1572/204 is 1/109140
Least Common Multiple of 535,204 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 535,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(535,204) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(535,204) x common factors =1 x 1 = 1
LCM(535,204) = ( 535 × 204 ) / 1
LCM(535,204) = 109140 / 1
LCM(535,204) = 109140
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FAQs on GCF of Fractions of 2651/535, 1572/204
1. What is the HCF of 2651,1572?
The HCF of 2651,1572 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 2651/535, 1572/204?
Answer: GCF of Numerators as per given numbers 2651/535, 1572/204 is
GCF of Numerators i.e. for 2651,1572 is 1
LCM of denominators i.e. for 535,204 is 109140.
Thus, GCF of Fractions is 1/109140.Finally, GCF of Fractions for 2651/535, 1572/204 is 1/109140.