GCF of 1132/938, 7282/525
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1132/938, 7282/525 i.e 2/70350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1132/938, 7282/525.
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 1132/938,7282/525?
Given fractions are 1132/938,7282/525
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 1132/938,7282/525, numerators are 1132,7282
Denominators are 938,525
The GCF of 1132,7282 is 2 .
LCM of 938,525 is 70350.
The greatest common factor of 1132/938,7282/525 = [GCF of 1132,7282]/[LCM of 938,525]= 2/70350
Therefore, the GCF of 1132/938,7282/525 is 2/70350.
To find the highest common factor of 1132,7282, we have to find the factors of both numbers and list the highest common factor.
The factors of 1132 are 1, 2, 4, 283, 566, 1132
The factors of 7282 are 1, 2, 11, 22, 331, 662, 3641, 7282
The HCF of 1132,7282 is 2.
Lets's calculate GCF of 1132,7282
| 2 | 1132, 7282 |
| 566, 3641 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1132,7282 By Matching Biggest Common Factor Method
Now, list down the factors of 1132
:1,2,4,283,566,1132
Now, list down the factors of 7282
:1,2,11,22,331,662,3641,7282
Greatest Common Factor
We found the factors 1132,7282 . The biggest common factor number is the GCF number.
So the greatest common factor 1132,7282 is 2.
Lets's calculate LCM of 938,525
| 7 | 938, 525 |
| 134, 75 |
∴ So the LCM of the given numbers is 7 x 134 x 75 = 70350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/70350
Therefore, the GCF of Fractions 1132/938,7282/525 is 2/70350
Least Common Multiple of 938,525 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 938,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,525) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(938,525) x common factors =7 x 1 = 7
LCM(938,525) = ( 938 × 525 ) / 7
LCM(938,525) = 492450 / 7
LCM(938,525) = 70350
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FAQs on GCF of Fractions of 1132/938, 7282/525
1. What is the HCF of 1132,7282?
The HCF of 1132,7282 is 2
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 1132/938, 7282/525?
Answer: GCF of Numerators as per given numbers 1132/938, 7282/525 is
GCF of Numerators i.e. for 1132,7282 is 2
LCM of denominators i.e. for 938,525 is 70350.
Thus, GCF of Fractions is 2/70350.Finally, GCF of Fractions for 1132/938, 7282/525 is 2/70350.