GCF of 1102/136, 7162/6120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1102/136, 7162/6120 i.e 2/6120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1102/136, 7162/6120.
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 1102/136,7162/6120?
Given fractions are 1102/136,7162/6120
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 1102/136,7162/6120, numerators are 1102,7162
Denominators are 136,6120
The GCF of 1102,7162 is 2 .
LCM of 136,6120 is 6120.
The greatest common factor of 1102/136,7162/6120 = [GCF of 1102,7162]/[LCM of 136,6120]= 2/6120
Therefore, the GCF of 1102/136,7162/6120 is 2/6120.
To find the highest common factor of 1102,7162, 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 7162 are 1, 2, 3581, 7162
The HCF of 1102,7162 is 2.
Lets's calculate GCF of 1102,7162
| 2 | 1102, 7162 |
| 551, 3581 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1102,7162 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 7162
:1,2,3581,7162
Greatest Common Factor
We found the factors 1102,7162 . The biggest common factor number is the GCF number.
So the greatest common factor 1102,7162 is 2.
Lets's calculate LCM of 136,6120
| 2 | 136, 6120 |
| 2 | 68, 3060 |
| 2 | 34, 1530 |
| 17 | 17, 765 |
| 1, 45 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 1 x 45 = 6120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6120
Therefore, the GCF of Fractions 1102/136,7162/6120 is 2/6120
Least Common Multiple of 136,6120 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 136,6120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,6120) = 136
common factors(in case of two or more numbers have common factors) = 1
GCF(136,6120) x common factors =136 x 1 = 136
LCM(136,6120) = ( 136 × 6120 ) / 136
LCM(136,6120) = 832320 / 136
LCM(136,6120) = 6120
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FAQs on GCF of Fractions of 1102/136, 7162/6120
1. What is the HCF of 1102,7162?
The HCF of 1102,7162 is 2
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 1102/136, 7162/6120?
Answer: GCF of Numerators as per given numbers 1102/136, 7162/6120 is
GCF of Numerators i.e. for 1102,7162 is 2
LCM of denominators i.e. for 136,6120 is 6120.
Thus, GCF of Fractions is 2/6120.Finally, GCF of Fractions for 1102/136, 7162/6120 is 2/6120.