GCF of 4375/932, 3570/9626
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4375/932, 3570/9626 i.e 35/4485716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4375/932, 3570/9626.
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 4375/932,3570/9626?
Given fractions are 4375/932,3570/9626
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 4375/932,3570/9626, numerators are 4375,3570
Denominators are 932,9626
The GCF of 4375,3570 is 35 .
LCM of 932,9626 is 4485716.
The greatest common factor of 4375/932,3570/9626 = [GCF of 4375,3570]/[LCM of 932,9626]= 35/4485716
Therefore, the GCF of 4375/932,3570/9626 is 35/4485716.
To find the highest common factor of 4375,3570, we have to find the factors of both numbers and list the highest common factor.
The factors of 4375 are 1, 5, 7, 25, 35, 125, 175, 625, 875, 4375
The factors of 3570 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 51, 70, 85, 102, 105, 119, 170, 210, 238, 255, 357, 510, 595, 714, 1190, 1785, 3570
The HCF of 4375,3570 is 35.
Lets's calculate GCF of 4375,3570
| 5 | 4375, 3570 |
| 7 | 875, 714 |
| 125, 102 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Greatest Common Factor of 4375,3570 By Matching Biggest Common Factor Method
Now, list down the factors of 4375
:1,5,7,25,35,125,175,625,875,4375
Now, list down the factors of 3570
:1,2,3,5,6,7,10,14,15,17,21,30,34,35,42,51,70,85,102,105,119,170,210,238,255,357,510,595,714,1190,1785,3570
Greatest Common Factor
We found the factors 4375,3570 . The biggest common factor number is the GCF number.
So the greatest common factor 4375,3570 is 35.
Lets's calculate LCM of 932,9626
| 2 | 932, 9626 |
| 466, 4813 |
∴ So the LCM of the given numbers is 2 x 466 x 4813 = 4485716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/4485716
Therefore, the GCF of Fractions 4375/932,3570/9626 is 35/4485716
Least Common Multiple of 932,9626 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 932,9626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,9626) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(932,9626) x common factors =2 x 1 = 2
LCM(932,9626) = ( 932 × 9626 ) / 2
LCM(932,9626) = 8971432 / 2
LCM(932,9626) = 4485716
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FAQs on GCF of Fractions of 4375/932, 3570/9626
1. What is the HCF of 4375,3570?
The HCF of 4375,3570 is 35
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 4375/932, 3570/9626?
Answer: GCF of Numerators as per given numbers 4375/932, 3570/9626 is
GCF of Numerators i.e. for 4375,3570 is 35
LCM of denominators i.e. for 932,9626 is 4485716.
Thus, GCF of Fractions is 35/4485716.Finally, GCF of Fractions for 4375/932, 3570/9626 is 35/4485716.