GCF of 703/72, 296/834
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 703/72, 296/834 i.e 37/10008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 703/72, 296/834.
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 703/72,296/834?
Given fractions are 703/72,296/834
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 703/72,296/834, numerators are 703,296
Denominators are 72,834
The GCF of 703,296 is 37 .
LCM of 72,834 is 10008.
The greatest common factor of 703/72,296/834 = [GCF of 703,296]/[LCM of 72,834]= 37/10008
Therefore, the GCF of 703/72,296/834 is 37/10008.
To find the highest common factor of 703,296, we have to find the factors of both numbers and list the highest common factor.
The factors of 703 are 1, 19, 37, 703
The factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296
The HCF of 703,296 is 37.
Lets's calculate GCF of 703,296
| 37 | 703, 296 |
| 19, 8 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 703,296 By Matching Biggest Common Factor Method
Now, list down the factors of 703
:1,19,37,703
Now, list down the factors of 296
:1,2,4,8,37,74,148,296
Greatest Common Factor
We found the factors 703,296 . The biggest common factor number is the GCF number.
So the greatest common factor 703,296 is 37.
Lets's calculate LCM of 72,834
| 2 | 72, 834 |
| 3 | 36, 417 |
| 12, 139 |
∴ So the LCM of the given numbers is 2 x 3 x 12 x 139 = 10008
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/10008
Therefore, the GCF of Fractions 703/72,296/834 is 37/10008
Least Common Multiple of 72,834 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 72,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,834) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(72,834) x common factors =6 x 1 = 6
LCM(72,834) = ( 72 × 834 ) / 6
LCM(72,834) = 60048 / 6
LCM(72,834) = 10008
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FAQs on GCF of Fractions of 703/72, 296/834
1. What is the HCF of 703,296?
The HCF of 703,296 is 37
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 703/72, 296/834?
Answer: GCF of Numerators as per given numbers 703/72, 296/834 is
GCF of Numerators i.e. for 703,296 is 37
LCM of denominators i.e. for 72,834 is 10008.
Thus, GCF of Fractions is 37/10008.Finally, GCF of Fractions for 703/72, 296/834 is 37/10008.