GCF of 7554/782, 1106/7906
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7554/782, 1106/7906 i.e 2/3091246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7554/782, 1106/7906.
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 7554/782,1106/7906?
Given fractions are 7554/782,1106/7906
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 7554/782,1106/7906, numerators are 7554,1106
Denominators are 782,7906
The GCF of 7554,1106 is 2 .
LCM of 782,7906 is 3091246.
The greatest common factor of 7554/782,1106/7906 = [GCF of 7554,1106]/[LCM of 782,7906]= 2/3091246
Therefore, the GCF of 7554/782,1106/7906 is 2/3091246.
To find the highest common factor of 7554,1106, we have to find the factors of both numbers and list the highest common factor.
The factors of 7554 are 1, 2, 3, 6, 1259, 2518, 3777, 7554
The factors of 1106 are 1, 2, 7, 14, 79, 158, 553, 1106
The HCF of 7554,1106 is 2.
Lets's calculate GCF of 7554,1106
| 2 | 7554, 1106 |
| 3777, 553 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7554,1106 By Matching Biggest Common Factor Method
Now, list down the factors of 7554
:1,2,3,6,1259,2518,3777,7554
Now, list down the factors of 1106
:1,2,7,14,79,158,553,1106
Greatest Common Factor
We found the factors 7554,1106 . The biggest common factor number is the GCF number.
So the greatest common factor 7554,1106 is 2.
Lets's calculate LCM of 782,7906
| 2 | 782, 7906 |
| 391, 3953 |
∴ So the LCM of the given numbers is 2 x 391 x 3953 = 3091246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3091246
Therefore, the GCF of Fractions 7554/782,1106/7906 is 2/3091246
Least Common Multiple of 782,7906 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 782,7906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,7906) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(782,7906) x common factors =2 x 1 = 2
LCM(782,7906) = ( 782 × 7906 ) / 2
LCM(782,7906) = 6182492 / 2
LCM(782,7906) = 3091246
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FAQs on GCF of Fractions of 7554/782, 1106/7906
1. What is the HCF of 7554,1106?
The HCF of 7554,1106 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 7554/782, 1106/7906?
Answer: GCF of Numerators as per given numbers 7554/782, 1106/7906 is
GCF of Numerators i.e. for 7554,1106 is 2
LCM of denominators i.e. for 782,7906 is 3091246.
Thus, GCF of Fractions is 2/3091246.Finally, GCF of Fractions for 7554/782, 1106/7906 is 2/3091246.