GCF of 1880/165, 7610/1626
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1880/165, 7610/1626 i.e 10/89430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1880/165, 7610/1626.
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 1880/165,7610/1626?
Given fractions are 1880/165,7610/1626
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 1880/165,7610/1626, numerators are 1880,7610
Denominators are 165,1626
The GCF of 1880,7610 is 10 .
LCM of 165,1626 is 89430.
The greatest common factor of 1880/165,7610/1626 = [GCF of 1880,7610]/[LCM of 165,1626]= 10/89430
Therefore, the GCF of 1880/165,7610/1626 is 10/89430.
To find the highest common factor of 1880,7610, we have to find the factors of both numbers and list the highest common factor.
The factors of 1880 are 1, 2, 4, 5, 8, 10, 20, 40, 47, 94, 188, 235, 376, 470, 940, 1880
The factors of 7610 are 1, 2, 5, 10, 761, 1522, 3805, 7610
The HCF of 1880,7610 is 10.
Lets's calculate GCF of 1880,7610
| 2 | 1880, 7610 |
| 5 | 940, 3805 |
| 188, 761 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 1880,7610 By Matching Biggest Common Factor Method
Now, list down the factors of 1880
:1,2,4,5,8,10,20,40,47,94,188,235,376,470,940,1880
Now, list down the factors of 7610
:1,2,5,10,761,1522,3805,7610
Greatest Common Factor
We found the factors 1880,7610 . The biggest common factor number is the GCF number.
So the greatest common factor 1880,7610 is 10.
Lets's calculate LCM of 165,1626
| 3 | 165, 1626 |
| 55, 542 |
∴ So the LCM of the given numbers is 3 x 55 x 542 = 89430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/89430
Therefore, the GCF of Fractions 1880/165,7610/1626 is 10/89430
Least Common Multiple of 165,1626 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 165,1626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,1626) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(165,1626) x common factors =3 x 1 = 3
LCM(165,1626) = ( 165 × 1626 ) / 3
LCM(165,1626) = 268290 / 3
LCM(165,1626) = 89430
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FAQs on GCF of Fractions of 1880/165, 7610/1626
1. What is the HCF of 1880,7610?
The HCF of 1880,7610 is 10
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 1880/165, 7610/1626?
Answer: GCF of Numerators as per given numbers 1880/165, 7610/1626 is
GCF of Numerators i.e. for 1880,7610 is 10
LCM of denominators i.e. for 165,1626 is 89430.
Thus, GCF of Fractions is 10/89430.Finally, GCF of Fractions for 1880/165, 7610/1626 is 10/89430.