GCF of 2076/644, 4526/9976
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2076/644, 4526/9976 i.e 2/1606136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2076/644, 4526/9976.
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 2076/644,4526/9976?
Given fractions are 2076/644,4526/9976
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 2076/644,4526/9976, numerators are 2076,4526
Denominators are 644,9976
The GCF of 2076,4526 is 2 .
LCM of 644,9976 is 1606136.
The greatest common factor of 2076/644,4526/9976 = [GCF of 2076,4526]/[LCM of 644,9976]= 2/1606136
Therefore, the GCF of 2076/644,4526/9976 is 2/1606136.
To find the highest common factor of 2076,4526, we have to find the factors of both numbers and list the highest common factor.
The factors of 2076 are 1, 2, 3, 4, 6, 12, 173, 346, 519, 692, 1038, 2076
The factors of 4526 are 1, 2, 31, 62, 73, 146, 2263, 4526
The HCF of 2076,4526 is 2.
Lets's calculate GCF of 2076,4526
| 2 | 2076, 4526 |
| 1038, 2263 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2076,4526 By Matching Biggest Common Factor Method
Now, list down the factors of 2076
:1,2,3,4,6,12,173,346,519,692,1038,2076
Now, list down the factors of 4526
:1,2,31,62,73,146,2263,4526
Greatest Common Factor
We found the factors 2076,4526 . The biggest common factor number is the GCF number.
So the greatest common factor 2076,4526 is 2.
Lets's calculate LCM of 644,9976
| 2 | 644, 9976 |
| 2 | 322, 4988 |
| 161, 2494 |
∴ So the LCM of the given numbers is 2 x 2 x 161 x 2494 = 1606136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1606136
Therefore, the GCF of Fractions 2076/644,4526/9976 is 2/1606136
Least Common Multiple of 644,9976 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 644,9976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,9976) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(644,9976) x common factors =4 x 1 = 4
LCM(644,9976) = ( 644 × 9976 ) / 4
LCM(644,9976) = 6424544 / 4
LCM(644,9976) = 1606136
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FAQs on GCF of Fractions of 2076/644, 4526/9976
1. What is the HCF of 2076,4526?
The HCF of 2076,4526 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 2076/644, 4526/9976?
Answer: GCF of Numerators as per given numbers 2076/644, 4526/9976 is
GCF of Numerators i.e. for 2076,4526 is 2
LCM of denominators i.e. for 644,9976 is 1606136.
Thus, GCF of Fractions is 2/1606136.Finally, GCF of Fractions for 2076/644, 4526/9976 is 2/1606136.