Highest Common Factor of 39, 65, 40, 454 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 39, 65, 40, 454 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 39, 65, 40, 454 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 39, 65, 40, 454 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 39, 65, 40, 454 is 1.
HCF(39, 65, 40, 454) = 1
HCF of 39, 65, 40, 454 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 39, 65, 40, 454 is 1.
Highest Common Factor of 39,65,40,454 is 1
Step 1: Since 65 > 39, we apply the division lemma to 65 and 39, to get
65 = 39 x 1 + 26
Step 2: Since the reminder 39 ≠ 0, we apply division lemma to 26 and 39, to get
39 = 26 x 1 + 13
Step 3: We consider the new divisor 26 and the new remainder 13, and apply the division lemma to get
26 = 13 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 39 and 65 is 13
Notice that 13 = HCF(26,13) = HCF(39,26) = HCF(65,39) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 40 > 13, we apply the division lemma to 40 and 13, to get
40 = 13 x 3 + 1
Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 1 and 13, 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 13 and 40 is 1
Notice that 1 = HCF(13,1) = HCF(40,13) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 454 > 1, we apply the division lemma to 454 and 1, to get
454 = 1 x 454 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 454 is 1
Notice that 1 = HCF(454,1) .
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Frequently Asked Questions on HCF of 39, 65, 40, 454 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 39, 65, 40, 454?
Answer: HCF of 39, 65, 40, 454 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 39, 65, 40, 454 using Euclid's Algorithm?
Answer: For arbitrary numbers 39, 65, 40, 454 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.