GCF of 2092/653, 7682/7151
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2092/653, 7682/7151 i.e 2/4669603 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2092/653, 7682/7151.
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 2092/653,7682/7151?
Given fractions are 2092/653,7682/7151
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 2092/653,7682/7151, numerators are 2092,7682
Denominators are 653,7151
The GCF of 2092,7682 is 2 .
LCM of 653,7151 is 4669603.
The greatest common factor of 2092/653,7682/7151 = [GCF of 2092,7682]/[LCM of 653,7151]= 2/4669603
Therefore, the GCF of 2092/653,7682/7151 is 2/4669603.
To find the highest common factor of 2092,7682, we have to find the factors of both numbers and list the highest common factor.
The factors of 2092 are 1, 2, 4, 523, 1046, 2092
The factors of 7682 are 1, 2, 23, 46, 167, 334, 3841, 7682
The HCF of 2092,7682 is 2.
Lets's calculate GCF of 2092,7682
| 2 | 2092, 7682 |
| 1046, 3841 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2092,7682 By Matching Biggest Common Factor Method
Now, list down the factors of 2092
:1,2,4,523,1046,2092
Now, list down the factors of 7682
:1,2,23,46,167,334,3841,7682
Greatest Common Factor
We found the factors 2092,7682 . The biggest common factor number is the GCF number.
So the greatest common factor 2092,7682 is 2.
Lets's calculate LCM of 653,7151
Given numbers has no common factors except 1. So, there LCM is their product i.e 4669603
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4669603
Therefore, the GCF of Fractions 2092/653,7682/7151 is 2/4669603
Least Common Multiple of 653,7151 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 653,7151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(653,7151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(653,7151) x common factors =1 x 1 = 1
LCM(653,7151) = ( 653 × 7151 ) / 1
LCM(653,7151) = 4669603 / 1
LCM(653,7151) = 4669603
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FAQs on GCF of Fractions of 2092/653, 7682/7151
1. What is the HCF of 2092,7682?
The HCF of 2092,7682 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 2092/653, 7682/7151?
Answer: GCF of Numerators as per given numbers 2092/653, 7682/7151 is
GCF of Numerators i.e. for 2092,7682 is 2
LCM of denominators i.e. for 653,7151 is 4669603.
Thus, GCF of Fractions is 2/4669603.Finally, GCF of Fractions for 2092/653, 7682/7151 is 2/4669603.