Highest Common Factor of 2740, 8193, 39305 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 2740, 8193, 39305 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2740, 8193, 39305 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 2740, 8193, 39305 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 2740, 8193, 39305 is 1.
HCF(2740, 8193, 39305) = 1
HCF of 2740, 8193, 39305 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2740, 8193, 39305 is 1.
Highest Common Factor of 2740,8193,39305 is 1
Step 1: Since 8193 > 2740, we apply the division lemma to 8193 and 2740, to get
8193 = 2740 x 2 + 2713
Step 2: Since the reminder 2740 ≠ 0, we apply division lemma to 2713 and 2740, to get
2740 = 2713 x 1 + 27
Step 3: We consider the new divisor 2713 and the new remainder 27, and apply the division lemma to get
2713 = 27 x 100 + 13
We consider the new divisor 27 and the new remainder 13,and apply the division lemma to get
27 = 13 x 2 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2740 and 8193 is 1
Notice that 1 = HCF(13,1) = HCF(27,13) = HCF(2713,27) = HCF(2740,2713) = HCF(8193,2740) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 39305 > 1, we apply the division lemma to 39305 and 1, to get
39305 = 1 x 39305 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 39305 is 1
Notice that 1 = HCF(39305,1) .
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Frequently Asked Questions on HCF of 2740, 8193, 39305 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 2740, 8193, 39305?
Answer: HCF of 2740, 8193, 39305 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2740, 8193, 39305 using Euclid's Algorithm?
Answer: For arbitrary numbers 2740, 8193, 39305 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.