GCF of 832/762, 5602/9034
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 832/762, 5602/9034 i.e 2/3441954 easily. The following is the detailed procedure to determine the greatest common factor of fractions 832/762, 5602/9034.
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 832/762,5602/9034?
Given fractions are 832/762,5602/9034
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 832/762,5602/9034, numerators are 832,5602
Denominators are 762,9034
The GCF of 832,5602 is 2 .
LCM of 762,9034 is 3441954.
The greatest common factor of 832/762,5602/9034 = [GCF of 832,5602]/[LCM of 762,9034]= 2/3441954
Therefore, the GCF of 832/762,5602/9034 is 2/3441954.
To find the highest common factor of 832,5602, we have to find the factors of both numbers and list the highest common factor.
The factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
The factors of 5602 are 1, 2, 2801, 5602
The HCF of 832,5602 is 2.
Lets's calculate GCF of 832,5602
| 2 | 832, 5602 |
| 416, 2801 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 832,5602 By Matching Biggest Common Factor Method
Now, list down the factors of 832
:1,2,4,8,13,16,26,32,52,64,104,208,416,832
Now, list down the factors of 5602
:1,2,2801,5602
Greatest Common Factor
We found the factors 832,5602 . The biggest common factor number is the GCF number.
So the greatest common factor 832,5602 is 2.
Lets's calculate LCM of 762,9034
| 2 | 762, 9034 |
| 381, 4517 |
∴ So the LCM of the given numbers is 2 x 381 x 4517 = 3441954
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3441954
Therefore, the GCF of Fractions 832/762,5602/9034 is 2/3441954
Least Common Multiple of 762,9034 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 762,9034 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,9034) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(762,9034) x common factors =2 x 1 = 2
LCM(762,9034) = ( 762 × 9034 ) / 2
LCM(762,9034) = 6883908 / 2
LCM(762,9034) = 3441954
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FAQs on GCF of Fractions of 832/762, 5602/9034
1. What is the HCF of 832,5602?
The HCF of 832,5602 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 832/762, 5602/9034?
Answer: GCF of Numerators as per given numbers 832/762, 5602/9034 is
GCF of Numerators i.e. for 832,5602 is 2
LCM of denominators i.e. for 762,9034 is 3441954.
Thus, GCF of Fractions is 2/3441954.Finally, GCF of Fractions for 832/762, 5602/9034 is 2/3441954.