GCF of 672/783, 210/275
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 672/783, 210/275 i.e 42/215325 easily. The following is the detailed procedure to determine the greatest common factor of fractions 672/783, 210/275.
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 672/783,210/275?
Given fractions are 672/783,210/275
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 672/783,210/275, numerators are 672,210
Denominators are 783,275
The GCF of 672,210 is 42 .
LCM of 783,275 is 215325.
The greatest common factor of 672/783,210/275 = [GCF of 672,210]/[LCM of 783,275]= 42/215325
Therefore, the GCF of 672/783,210/275 is 42/215325.
To find the highest common factor of 672,210, 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 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
The HCF of 672,210 is 42.
Lets's calculate GCF of 672,210
| 2 | 672, 210 |
| 3 | 336, 105 |
| 7 | 112, 35 |
| 16, 5 |
∴ So the GCF of the given numbers is 2 x 3 x 7 = 42
Greatest Common Factor of 672,210 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 210
:1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Greatest Common Factor
We found the factors 672,210 . The biggest common factor number is the GCF number.
So the greatest common factor 672,210 is 42.
Lets's calculate LCM of 783,275
Given numbers has no common factors except 1. So, there LCM is their product i.e 215325
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/215325
Therefore, the GCF of Fractions 672/783,210/275 is 42/215325
Least Common Multiple of 783,275 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 783,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,275) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(783,275) x common factors =1 x 1 = 1
LCM(783,275) = ( 783 × 275 ) / 1
LCM(783,275) = 215325 / 1
LCM(783,275) = 215325
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FAQs on GCF of Fractions of 672/783, 210/275
1. What is the HCF of 672,210?
The HCF of 672,210 is 42
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 672/783, 210/275?
Answer: GCF of Numerators as per given numbers 672/783, 210/275 is
GCF of Numerators i.e. for 672,210 is 42
LCM of denominators i.e. for 783,275 is 215325.
Thus, GCF of Fractions is 42/215325.Finally, GCF of Fractions for 672/783, 210/275 is 42/215325.