GCF of 3508/690, 6664/1302
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3508/690, 6664/1302 i.e 4/149730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3508/690, 6664/1302.
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 3508/690,6664/1302?
Given fractions are 3508/690,6664/1302
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 3508/690,6664/1302, numerators are 3508,6664
Denominators are 690,1302
The GCF of 3508,6664 is 4 .
LCM of 690,1302 is 149730.
The greatest common factor of 3508/690,6664/1302 = [GCF of 3508,6664]/[LCM of 690,1302]= 4/149730
Therefore, the GCF of 3508/690,6664/1302 is 4/149730.
To find the highest common factor of 3508,6664, we have to find the factors of both numbers and list the highest common factor.
The factors of 3508 are 1, 2, 4, 877, 1754, 3508
The factors of 6664 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 49, 56, 68, 98, 119, 136, 196, 238, 392, 476, 833, 952, 1666, 3332, 6664
The HCF of 3508,6664 is 4.
Lets's calculate GCF of 3508,6664
| 2 | 3508, 6664 |
| 2 | 1754, 3332 |
| 877, 1666 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3508,6664 By Matching Biggest Common Factor Method
Now, list down the factors of 3508
:1,2,4,877,1754,3508
Now, list down the factors of 6664
:1,2,4,7,8,14,17,28,34,49,56,68,98,119,136,196,238,392,476,833,952,1666,3332,6664
Greatest Common Factor
We found the factors 3508,6664 . The biggest common factor number is the GCF number.
So the greatest common factor 3508,6664 is 4.
Lets's calculate LCM of 690,1302
| 2 | 690, 1302 |
| 3 | 345, 651 |
| 115, 217 |
∴ So the LCM of the given numbers is 2 x 3 x 115 x 217 = 149730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/149730
Therefore, the GCF of Fractions 3508/690,6664/1302 is 4/149730
Least Common Multiple of 690,1302 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 690,1302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,1302) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(690,1302) x common factors =6 x 1 = 6
LCM(690,1302) = ( 690 × 1302 ) / 6
LCM(690,1302) = 898380 / 6
LCM(690,1302) = 149730
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FAQs on GCF of Fractions of 3508/690, 6664/1302
1. What is the HCF of 3508,6664?
The HCF of 3508,6664 is 4
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 3508/690, 6664/1302?
Answer: GCF of Numerators as per given numbers 3508/690, 6664/1302 is
GCF of Numerators i.e. for 3508,6664 is 4
LCM of denominators i.e. for 690,1302 is 149730.
Thus, GCF of Fractions is 4/149730.Finally, GCF of Fractions for 3508/690, 6664/1302 is 4/149730.