GCF of 3501/268, 1872/755
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3501/268, 1872/755 i.e 9/202340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3501/268, 1872/755.
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 3501/268,1872/755?
Given fractions are 3501/268,1872/755
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 3501/268,1872/755, numerators are 3501,1872
Denominators are 268,755
The GCF of 3501,1872 is 9 .
LCM of 268,755 is 202340.
The greatest common factor of 3501/268,1872/755 = [GCF of 3501,1872]/[LCM of 268,755]= 9/202340
Therefore, the GCF of 3501/268,1872/755 is 9/202340.
To find the highest common factor of 3501,1872, we have to find the factors of both numbers and list the highest common factor.
The factors of 3501 are 1, 3, 9, 389, 1167, 3501
The factors of 1872 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936, 1872
The HCF of 3501,1872 is 9.
Lets's calculate GCF of 3501,1872
| 3 | 3501, 1872 |
| 3 | 1167, 624 |
| 389, 208 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 3501,1872 By Matching Biggest Common Factor Method
Now, list down the factors of 3501
:1,3,9,389,1167,3501
Now, list down the factors of 1872
:1,2,3,4,6,8,9,12,13,16,18,24,26,36,39,48,52,72,78,104,117,144,156,208,234,312,468,624,936,1872
Greatest Common Factor
We found the factors 3501,1872 . The biggest common factor number is the GCF number.
So the greatest common factor 3501,1872 is 9.
Lets's calculate LCM of 268,755
Given numbers has no common factors except 1. So, there LCM is their product i.e 202340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/202340
Therefore, the GCF of Fractions 3501/268,1872/755 is 9/202340
Least Common Multiple of 268,755 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 268,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(268,755) x common factors =1 x 1 = 1
LCM(268,755) = ( 268 × 755 ) / 1
LCM(268,755) = 202340 / 1
LCM(268,755) = 202340
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FAQs on GCF of Fractions of 3501/268, 1872/755
1. What is the HCF of 3501,1872?
The HCF of 3501,1872 is 9
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 3501/268, 1872/755?
Answer: GCF of Numerators as per given numbers 3501/268, 1872/755 is
GCF of Numerators i.e. for 3501,1872 is 9
LCM of denominators i.e. for 268,755 is 202340.
Thus, GCF of Fractions is 9/202340.Finally, GCF of Fractions for 3501/268, 1872/755 is 9/202340.