GCF of 672/266, 1869/6795
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 672/266, 1869/6795 i.e 21/1807470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 672/266, 1869/6795.
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 672/266,1869/6795?
Given fractions are 672/266,1869/6795
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 672/266,1869/6795, numerators are 672,1869
Denominators are 266,6795
The GCF of 672,1869 is 21 .
LCM of 266,6795 is 1807470.
The greatest common factor of 672/266,1869/6795 = [GCF of 672,1869]/[LCM of 266,6795]= 21/1807470
Therefore, the GCF of 672/266,1869/6795 is 21/1807470.
To find the highest common factor of 672,1869, we have to find the factors of both numbers and list the highest common factor.
The factors of 672 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
The factors of 1869 are 1, 3, 7, 21, 89, 267, 623, 1869
The HCF of 672,1869 is 21.
Lets's calculate GCF of 672,1869
| 3 | 672, 1869 |
| 7 | 224, 623 |
| 32, 89 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 672,1869 By Matching Biggest Common Factor Method
Now, list down the factors of 672
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Now, list down the factors of 1869
:1,3,7,21,89,267,623,1869
Greatest Common Factor
We found the factors 672,1869 . The biggest common factor number is the GCF number.
So the greatest common factor 672,1869 is 21.
Lets's calculate LCM of 266,6795
Given numbers has no common factors except 1. So, there LCM is their product i.e 1807470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/1807470
Therefore, the GCF of Fractions 672/266,1869/6795 is 21/1807470
Least Common Multiple of 266,6795 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 266,6795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,6795) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(266,6795) x common factors =1 x 1 = 1
LCM(266,6795) = ( 266 × 6795 ) / 1
LCM(266,6795) = 1807470 / 1
LCM(266,6795) = 1807470
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FAQs on GCF of Fractions of 672/266, 1869/6795
1. What is the HCF of 672,1869?
The HCF of 672,1869 is 21
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 672/266, 1869/6795?
Answer: GCF of Numerators as per given numbers 672/266, 1869/6795 is
GCF of Numerators i.e. for 672,1869 is 21
LCM of denominators i.e. for 266,6795 is 1807470.
Thus, GCF of Fractions is 21/1807470.Finally, GCF of Fractions for 672/266, 1869/6795 is 21/1807470.