GCF of 1102/750, 4002/1103
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1102/750, 4002/1103 i.e 58/827250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1102/750, 4002/1103.
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 1102/750,4002/1103?
Given fractions are 1102/750,4002/1103
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 1102/750,4002/1103, numerators are 1102,4002
Denominators are 750,1103
The GCF of 1102,4002 is 58 .
LCM of 750,1103 is 827250.
The greatest common factor of 1102/750,4002/1103 = [GCF of 1102,4002]/[LCM of 750,1103]= 58/827250
Therefore, the GCF of 1102/750,4002/1103 is 58/827250.
To find the highest common factor of 1102,4002, we have to find the factors of both numbers and list the highest common factor.
The factors of 1102 are 1, 2, 19, 29, 38, 58, 551, 1102
The factors of 4002 are 1, 2, 3, 6, 23, 29, 46, 58, 69, 87, 138, 174, 667, 1334, 2001, 4002
The HCF of 1102,4002 is 58.
Lets's calculate GCF of 1102,4002
| 2 | 1102, 4002 |
| 29 | 551, 2001 |
| 19, 69 |
∴ So the GCF of the given numbers is 2 x 29 = 58
Greatest Common Factor of 1102,4002 By Matching Biggest Common Factor Method
Now, list down the factors of 1102
:1,2,19,29,38,58,551,1102
Now, list down the factors of 4002
:1,2,3,6,23,29,46,58,69,87,138,174,667,1334,2001,4002
Greatest Common Factor
We found the factors 1102,4002 . The biggest common factor number is the GCF number.
So the greatest common factor 1102,4002 is 58.
Lets's calculate LCM of 750,1103
Given numbers has no common factors except 1. So, there LCM is their product i.e 827250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/827250
Therefore, the GCF of Fractions 1102/750,4002/1103 is 58/827250
Least Common Multiple of 750,1103 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 750,1103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,1103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(750,1103) x common factors =1 x 1 = 1
LCM(750,1103) = ( 750 × 1103 ) / 1
LCM(750,1103) = 827250 / 1
LCM(750,1103) = 827250
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FAQs on GCF of Fractions of 1102/750, 4002/1103
1. What is the HCF of 1102,4002?
The HCF of 1102,4002 is 58
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 1102/750, 4002/1103?
Answer: GCF of Numerators as per given numbers 1102/750, 4002/1103 is
GCF of Numerators i.e. for 1102,4002 is 58
LCM of denominators i.e. for 750,1103 is 827250.
Thus, GCF of Fractions is 58/827250.Finally, GCF of Fractions for 1102/750, 4002/1103 is 58/827250.