GCF of 175/884, 7420/332
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 175/884, 7420/332 i.e 35/73372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 175/884, 7420/332.
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 175/884,7420/332?
Given fractions are 175/884,7420/332
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 175/884,7420/332, numerators are 175,7420
Denominators are 884,332
The GCF of 175,7420 is 35 .
LCM of 884,332 is 73372.
The greatest common factor of 175/884,7420/332 = [GCF of 175,7420]/[LCM of 884,332]= 35/73372
Therefore, the GCF of 175/884,7420/332 is 35/73372.
To find the highest common factor of 175,7420, we have to find the factors of both numbers and list the highest common factor.
The factors of 175 are 1, 5, 7, 25, 35, 175
The factors of 7420 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 53, 70, 106, 140, 212, 265, 371, 530, 742, 1060, 1484, 1855, 3710, 7420
The HCF of 175,7420 is 35.
Lets's calculate GCF of 175,7420
| 5 | 175, 7420 |
| 7 | 35, 1484 |
| 5, 212 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Greatest Common Factor of 175,7420 By Matching Biggest Common Factor Method
Now, list down the factors of 175
:1,5,7,25,35,175
Now, list down the factors of 7420
:1,2,4,5,7,10,14,20,28,35,53,70,106,140,212,265,371,530,742,1060,1484,1855,3710,7420
Greatest Common Factor
We found the factors 175,7420 . The biggest common factor number is the GCF number.
So the greatest common factor 175,7420 is 35.
Lets's calculate LCM of 884,332
| 2 | 884, 332 |
| 2 | 442, 166 |
| 221, 83 |
∴ So the LCM of the given numbers is 2 x 2 x 221 x 83 = 73372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/73372
Therefore, the GCF of Fractions 175/884,7420/332 is 35/73372
Least Common Multiple of 884,332 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 884,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(884,332) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(884,332) x common factors =4 x 1 = 4
LCM(884,332) = ( 884 × 332 ) / 4
LCM(884,332) = 293488 / 4
LCM(884,332) = 73372
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FAQs on GCF of Fractions of 175/884, 7420/332
1. What is the HCF of 175,7420?
The HCF of 175,7420 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 175/884, 7420/332?
Answer: GCF of Numerators as per given numbers 175/884, 7420/332 is
GCF of Numerators i.e. for 175,7420 is 35
LCM of denominators i.e. for 884,332 is 73372.
Thus, GCF of Fractions is 35/73372.Finally, GCF of Fractions for 175/884, 7420/332 is 35/73372.