GCF of 7010/212, 4288/5316
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7010/212, 4288/5316 i.e 2/281748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7010/212, 4288/5316.
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 7010/212,4288/5316?
Given fractions are 7010/212,4288/5316
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 7010/212,4288/5316, numerators are 7010,4288
Denominators are 212,5316
The GCF of 7010,4288 is 2 .
LCM of 212,5316 is 281748.
The greatest common factor of 7010/212,4288/5316 = [GCF of 7010,4288]/[LCM of 212,5316]= 2/281748
Therefore, the GCF of 7010/212,4288/5316 is 2/281748.
To find the highest common factor of 7010,4288, we have to find the factors of both numbers and list the highest common factor.
The factors of 7010 are 1, 2, 5, 10, 701, 1402, 3505, 7010
The factors of 4288 are 1, 2, 4, 8, 16, 32, 64, 67, 134, 268, 536, 1072, 2144, 4288
The HCF of 7010,4288 is 2.
Lets's calculate GCF of 7010,4288
| 2 | 7010, 4288 |
| 3505, 2144 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7010,4288 By Matching Biggest Common Factor Method
Now, list down the factors of 7010
:1,2,5,10,701,1402,3505,7010
Now, list down the factors of 4288
:1,2,4,8,16,32,64,67,134,268,536,1072,2144,4288
Greatest Common Factor
We found the factors 7010,4288 . The biggest common factor number is the GCF number.
So the greatest common factor 7010,4288 is 2.
Lets's calculate LCM of 212,5316
| 2 | 212, 5316 |
| 2 | 106, 2658 |
| 53, 1329 |
∴ So the LCM of the given numbers is 2 x 2 x 53 x 1329 = 281748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/281748
Therefore, the GCF of Fractions 7010/212,4288/5316 is 2/281748
Least Common Multiple of 212,5316 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 212,5316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,5316) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(212,5316) x common factors =4 x 1 = 4
LCM(212,5316) = ( 212 × 5316 ) / 4
LCM(212,5316) = 1126992 / 4
LCM(212,5316) = 281748
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FAQs on GCF of Fractions of 7010/212, 4288/5316
1. What is the HCF of 7010,4288?
The HCF of 7010,4288 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 7010/212, 4288/5316?
Answer: GCF of Numerators as per given numbers 7010/212, 4288/5316 is
GCF of Numerators i.e. for 7010,4288 is 2
LCM of denominators i.e. for 212,5316 is 281748.
Thus, GCF of Fractions is 2/281748.Finally, GCF of Fractions for 7010/212, 4288/5316 is 2/281748.