GCF of 532/70, 703/484
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 532/70, 703/484 i.e 19/16940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 532/70, 703/484.
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 532/70,703/484?
Given fractions are 532/70,703/484
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 532/70,703/484, numerators are 532,703
Denominators are 70,484
The GCF of 532,703 is 19 .
LCM of 70,484 is 16940.
The greatest common factor of 532/70,703/484 = [GCF of 532,703]/[LCM of 70,484]= 19/16940
Therefore, the GCF of 532/70,703/484 is 19/16940.
To find the highest common factor of 532,703, we have to find the factors of both numbers and list the highest common factor.
The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
The factors of 703 are 1, 19, 37, 703
The HCF of 532,703 is 19.
Lets's calculate GCF of 532,703
| 19 | 532, 703 |
| 28, 37 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 532,703 By Matching Biggest Common Factor Method
Now, list down the factors of 532
:1,2,4,7,14,19,28,38,76,133,266,532
Now, list down the factors of 703
:1,19,37,703
Greatest Common Factor
We found the factors 532,703 . The biggest common factor number is the GCF number.
So the greatest common factor 532,703 is 19.
Lets's calculate LCM of 70,484
| 2 | 70, 484 |
| 35, 242 |
∴ So the LCM of the given numbers is 2 x 35 x 242 = 16940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/16940
Therefore, the GCF of Fractions 532/70,703/484 is 19/16940
Least Common Multiple of 70,484 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 70,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,484) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(70,484) x common factors =2 x 1 = 2
LCM(70,484) = ( 70 × 484 ) / 2
LCM(70,484) = 33880 / 2
LCM(70,484) = 16940
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FAQs on GCF of Fractions of 532/70, 703/484
1. What is the HCF of 532,703?
The HCF of 532,703 is 19
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 532/70, 703/484?
Answer: GCF of Numerators as per given numbers 532/70, 703/484 is
GCF of Numerators i.e. for 532,703 is 19
LCM of denominators i.e. for 70,484 is 16940.
Thus, GCF of Fractions is 19/16940.Finally, GCF of Fractions for 532/70, 703/484 is 19/16940.