GCF of 2876/616, 9632/722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2876/616, 9632/722 i.e 4/222376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2876/616, 9632/722.
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 2876/616,9632/722?
Given fractions are 2876/616,9632/722
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 2876/616,9632/722, numerators are 2876,9632
Denominators are 616,722
The GCF of 2876,9632 is 4 .
LCM of 616,722 is 222376.
The greatest common factor of 2876/616,9632/722 = [GCF of 2876,9632]/[LCM of 616,722]= 4/222376
Therefore, the GCF of 2876/616,9632/722 is 4/222376.
To find the highest common factor of 2876,9632, we have to find the factors of both numbers and list the highest common factor.
The factors of 2876 are 1, 2, 4, 719, 1438, 2876
The factors of 9632 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 43, 56, 86, 112, 172, 224, 301, 344, 602, 688, 1204, 1376, 2408, 4816, 9632
The HCF of 2876,9632 is 4.
Lets's calculate GCF of 2876,9632
| 2 | 2876, 9632 |
| 2 | 1438, 4816 |
| 719, 2408 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2876,9632 By Matching Biggest Common Factor Method
Now, list down the factors of 2876
:1,2,4,719,1438,2876
Now, list down the factors of 9632
:1,2,4,7,8,14,16,28,32,43,56,86,112,172,224,301,344,602,688,1204,1376,2408,4816,9632
Greatest Common Factor
We found the factors 2876,9632 . The biggest common factor number is the GCF number.
So the greatest common factor 2876,9632 is 4.
Lets's calculate LCM of 616,722
| 2 | 616, 722 |
| 308, 361 |
∴ So the LCM of the given numbers is 2 x 308 x 361 = 222376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/222376
Therefore, the GCF of Fractions 2876/616,9632/722 is 4/222376
Least Common Multiple of 616,722 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 616,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,722) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(616,722) x common factors =2 x 1 = 2
LCM(616,722) = ( 616 × 722 ) / 2
LCM(616,722) = 444752 / 2
LCM(616,722) = 222376
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FAQs on GCF of Fractions of 2876/616, 9632/722
1. What is the HCF of 2876,9632?
The HCF of 2876,9632 is 4
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 2876/616, 9632/722?
Answer: GCF of Numerators as per given numbers 2876/616, 9632/722 is
GCF of Numerators i.e. for 2876,9632 is 4
LCM of denominators i.e. for 616,722 is 222376.
Thus, GCF of Fractions is 4/222376.Finally, GCF of Fractions for 2876/616, 9632/722 is 4/222376.