GCF of 1212/702, 1414/9690
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1212/702, 1414/9690 i.e 202/1133730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1212/702, 1414/9690.
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 1212/702,1414/9690?
Given fractions are 1212/702,1414/9690
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 1212/702,1414/9690, numerators are 1212,1414
Denominators are 702,9690
The GCF of 1212,1414 is 202 .
LCM of 702,9690 is 1133730.
The greatest common factor of 1212/702,1414/9690 = [GCF of 1212,1414]/[LCM of 702,9690]= 202/1133730
Therefore, the GCF of 1212/702,1414/9690 is 202/1133730.
To find the highest common factor of 1212,1414, we have to find the factors of both numbers and list the highest common factor.
The factors of 1212 are 1, 2, 3, 4, 6, 12, 101, 202, 303, 404, 606, 1212
The factors of 1414 are 1, 2, 7, 14, 101, 202, 707, 1414
The HCF of 1212,1414 is 202.
Lets's calculate GCF of 1212,1414
| 2 | 1212, 1414 |
| 101 | 606, 707 |
| 6, 7 |
∴ So the GCF of the given numbers is 2 x 101 = 202
Greatest Common Factor of 1212,1414 By Matching Biggest Common Factor Method
Now, list down the factors of 1212
:1,2,3,4,6,12,101,202,303,404,606,1212
Now, list down the factors of 1414
:1,2,7,14,101,202,707,1414
Greatest Common Factor
We found the factors 1212,1414 . The biggest common factor number is the GCF number.
So the greatest common factor 1212,1414 is 202.
Lets's calculate LCM of 702,9690
| 2 | 702, 9690 |
| 3 | 351, 4845 |
| 117, 1615 |
∴ So the LCM of the given numbers is 2 x 3 x 117 x 1615 = 1133730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 202/1133730
Therefore, the GCF of Fractions 1212/702,1414/9690 is 202/1133730
Least Common Multiple of 702,9690 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 702,9690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,9690) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(702,9690) x common factors =6 x 1 = 6
LCM(702,9690) = ( 702 × 9690 ) / 6
LCM(702,9690) = 6802380 / 6
LCM(702,9690) = 1133730
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FAQs on GCF of Fractions of 1212/702, 1414/9690
1. What is the HCF of 1212,1414?
The HCF of 1212,1414 is 202
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 1212/702, 1414/9690?
Answer: GCF of Numerators as per given numbers 1212/702, 1414/9690 is
GCF of Numerators i.e. for 1212,1414 is 202
LCM of denominators i.e. for 702,9690 is 1133730.
Thus, GCF of Fractions is 202/1133730.Finally, GCF of Fractions for 1212/702, 1414/9690 is 202/1133730.