GCF of 2698/640, 9762/737
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2698/640, 9762/737 i.e 2/471680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2698/640, 9762/737.
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 2698/640,9762/737?
Given fractions are 2698/640,9762/737
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 2698/640,9762/737, numerators are 2698,9762
Denominators are 640,737
The GCF of 2698,9762 is 2 .
LCM of 640,737 is 471680.
The greatest common factor of 2698/640,9762/737 = [GCF of 2698,9762]/[LCM of 640,737]= 2/471680
Therefore, the GCF of 2698/640,9762/737 is 2/471680.
To find the highest common factor of 2698,9762, we have to find the factors of both numbers and list the highest common factor.
The factors of 2698 are 1, 2, 19, 38, 71, 142, 1349, 2698
The factors of 9762 are 1, 2, 3, 6, 1627, 3254, 4881, 9762
The HCF of 2698,9762 is 2.
Lets's calculate GCF of 2698,9762
| 2 | 2698, 9762 |
| 1349, 4881 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2698,9762 By Matching Biggest Common Factor Method
Now, list down the factors of 2698
:1,2,19,38,71,142,1349,2698
Now, list down the factors of 9762
:1,2,3,6,1627,3254,4881,9762
Greatest Common Factor
We found the factors 2698,9762 . The biggest common factor number is the GCF number.
So the greatest common factor 2698,9762 is 2.
Lets's calculate LCM of 640,737
Given numbers has no common factors except 1. So, there LCM is their product i.e 471680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/471680
Therefore, the GCF of Fractions 2698/640,9762/737 is 2/471680
Least Common Multiple of 640,737 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 640,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,737) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(640,737) x common factors =1 x 1 = 1
LCM(640,737) = ( 640 × 737 ) / 1
LCM(640,737) = 471680 / 1
LCM(640,737) = 471680
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FAQs on GCF of Fractions of 2698/640, 9762/737
1. What is the HCF of 2698,9762?
The HCF of 2698,9762 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 2698/640, 9762/737?
Answer: GCF of Numerators as per given numbers 2698/640, 9762/737 is
GCF of Numerators i.e. for 2698,9762 is 2
LCM of denominators i.e. for 640,737 is 471680.
Thus, GCF of Fractions is 2/471680.Finally, GCF of Fractions for 2698/640, 9762/737 is 2/471680.