GCF of 1352/310, 8294/982
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1352/310, 8294/982 i.e 26/152210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1352/310, 8294/982.
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 1352/310,8294/982?
Given fractions are 1352/310,8294/982
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 1352/310,8294/982, numerators are 1352,8294
Denominators are 310,982
The GCF of 1352,8294 is 26 .
LCM of 310,982 is 152210.
The greatest common factor of 1352/310,8294/982 = [GCF of 1352,8294]/[LCM of 310,982]= 26/152210
Therefore, the GCF of 1352/310,8294/982 is 26/152210.
To find the highest common factor of 1352,8294, we have to find the factors of both numbers and list the highest common factor.
The factors of 1352 are 1, 2, 4, 8, 13, 26, 52, 104, 169, 338, 676, 1352
The factors of 8294 are 1, 2, 11, 13, 22, 26, 29, 58, 143, 286, 319, 377, 638, 754, 4147, 8294
The HCF of 1352,8294 is 26.
Lets's calculate GCF of 1352,8294
| 2 | 1352, 8294 |
| 13 | 676, 4147 |
| 52, 319 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Greatest Common Factor of 1352,8294 By Matching Biggest Common Factor Method
Now, list down the factors of 1352
:1,2,4,8,13,26,52,104,169,338,676,1352
Now, list down the factors of 8294
:1,2,11,13,22,26,29,58,143,286,319,377,638,754,4147,8294
Greatest Common Factor
We found the factors 1352,8294 . The biggest common factor number is the GCF number.
So the greatest common factor 1352,8294 is 26.
Lets's calculate LCM of 310,982
| 2 | 310, 982 |
| 155, 491 |
∴ So the LCM of the given numbers is 2 x 155 x 491 = 152210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/152210
Therefore, the GCF of Fractions 1352/310,8294/982 is 26/152210
Least Common Multiple of 310,982 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 310,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,982) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(310,982) x common factors =2 x 1 = 2
LCM(310,982) = ( 310 × 982 ) / 2
LCM(310,982) = 304420 / 2
LCM(310,982) = 152210
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FAQs on GCF of Fractions of 1352/310, 8294/982
1. What is the HCF of 1352,8294?
The HCF of 1352,8294 is 26
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 1352/310, 8294/982?
Answer: GCF of Numerators as per given numbers 1352/310, 8294/982 is
GCF of Numerators i.e. for 1352,8294 is 26
LCM of denominators i.e. for 310,982 is 152210.
Thus, GCF of Fractions is 26/152210.Finally, GCF of Fractions for 1352/310, 8294/982 is 26/152210.