GCF of 1470/700, 8646/1929
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1470/700, 8646/1929 i.e 6/1350300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1470/700, 8646/1929.
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 1470/700,8646/1929?
Given fractions are 1470/700,8646/1929
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 1470/700,8646/1929, numerators are 1470,8646
Denominators are 700,1929
The GCF of 1470,8646 is 6 .
LCM of 700,1929 is 1350300.
The greatest common factor of 1470/700,8646/1929 = [GCF of 1470,8646]/[LCM of 700,1929]= 6/1350300
Therefore, the GCF of 1470/700,8646/1929 is 6/1350300.
To find the highest common factor of 1470,8646, we have to find the factors of both numbers and list the highest common factor.
The factors of 1470 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 490, 735, 1470
The factors of 8646 are 1, 2, 3, 6, 11, 22, 33, 66, 131, 262, 393, 786, 1441, 2882, 4323, 8646
The HCF of 1470,8646 is 6.
Lets's calculate GCF of 1470,8646
| 2 | 1470, 8646 |
| 3 | 735, 4323 |
| 245, 1441 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1470,8646 By Matching Biggest Common Factor Method
Now, list down the factors of 1470
:1,2,3,5,6,7,10,14,15,21,30,35,42,49,70,98,105,147,210,245,294,490,735,1470
Now, list down the factors of 8646
:1,2,3,6,11,22,33,66,131,262,393,786,1441,2882,4323,8646
Greatest Common Factor
We found the factors 1470,8646 . The biggest common factor number is the GCF number.
So the greatest common factor 1470,8646 is 6.
Lets's calculate LCM of 700,1929
Given numbers has no common factors except 1. So, there LCM is their product i.e 1350300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1350300
Therefore, the GCF of Fractions 1470/700,8646/1929 is 6/1350300
Least Common Multiple of 700,1929 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 700,1929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(700,1929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(700,1929) x common factors =1 x 1 = 1
LCM(700,1929) = ( 700 × 1929 ) / 1
LCM(700,1929) = 1350300 / 1
LCM(700,1929) = 1350300
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FAQs on GCF of Fractions of 1470/700, 8646/1929
1. What is the HCF of 1470,8646?
The HCF of 1470,8646 is 6
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 1470/700, 8646/1929?
Answer: GCF of Numerators as per given numbers 1470/700, 8646/1929 is
GCF of Numerators i.e. for 1470,8646 is 6
LCM of denominators i.e. for 700,1929 is 1350300.
Thus, GCF of Fractions is 6/1350300.Finally, GCF of Fractions for 1470/700, 8646/1929 is 6/1350300.