GCF of 708/972, 3221/210
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 708/972, 3221/210 i.e 1/34020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 708/972, 3221/210.
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 708/972,3221/210?
Given fractions are 708/972,3221/210
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 708/972,3221/210, numerators are 708,3221
Denominators are 972,210
The GCF of 708,3221 is 1 .
LCM of 972,210 is 34020.
The greatest common factor of 708/972,3221/210 = [GCF of 708,3221]/[LCM of 972,210]= 1/34020
Therefore, the GCF of 708/972,3221/210 is 1/34020.
To find the highest common factor of 708,3221, we have to find the factors of both numbers and list the highest common factor.
The factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
The factors of 3221 are 1, 3221
The HCF of 708,3221 is 1.
Lets's calculate GCF of 708,3221
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 708,3221 By Matching Biggest Common Factor Method
Now, list down the factors of 708
:1,2,3,4,6,12,59,118,177,236,354,708
Now, list down the factors of 3221
:1,3221
Greatest Common Factor
We found the factors 708,3221 . The biggest common factor number is the GCF number.
So the greatest common factor 708,3221 is 1.
Lets's calculate LCM of 972,210
| 2 | 972, 210 |
| 3 | 486, 105 |
| 162, 35 |
∴ So the LCM of the given numbers is 2 x 3 x 162 x 35 = 34020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34020
Therefore, the GCF of Fractions 708/972,3221/210 is 1/34020
Least Common Multiple of 972,210 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 972,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,210) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(972,210) x common factors =6 x 1 = 6
LCM(972,210) = ( 972 × 210 ) / 6
LCM(972,210) = 204120 / 6
LCM(972,210) = 34020
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FAQs on GCF of Fractions of 708/972, 3221/210
1. What is the HCF of 708,3221?
The HCF of 708,3221 is 1
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 708/972, 3221/210?
Answer: GCF of Numerators as per given numbers 708/972, 3221/210 is
GCF of Numerators i.e. for 708,3221 is 1
LCM of denominators i.e. for 972,210 is 34020.
Thus, GCF of Fractions is 1/34020.Finally, GCF of Fractions for 708/972, 3221/210 is 1/34020.