Highest Common Factor of 368, 905, 718, 840 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 368, 905, 718, 840 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 368, 905, 718, 840 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 368, 905, 718, 840 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 368, 905, 718, 840 is 1.
HCF(368, 905, 718, 840) = 1
HCF of 368, 905, 718, 840 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 368, 905, 718, 840 is 1.
Highest Common Factor of 368,905,718,840 is 1
Step 1: Since 905 > 368, we apply the division lemma to 905 and 368, to get
905 = 368 x 2 + 169
Step 2: Since the reminder 368 ≠ 0, we apply division lemma to 169 and 368, to get
368 = 169 x 2 + 30
Step 3: We consider the new divisor 169 and the new remainder 30, and apply the division lemma to get
169 = 30 x 5 + 19
We consider the new divisor 30 and the new remainder 19,and apply the division lemma to get
30 = 19 x 1 + 11
We consider the new divisor 19 and the new remainder 11,and apply the division lemma to get
19 = 11 x 1 + 8
We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get
11 = 8 x 1 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 368 and 905 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(19,11) = HCF(30,19) = HCF(169,30) = HCF(368,169) = HCF(905,368) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 718 > 1, we apply the division lemma to 718 and 1, to get
718 = 1 x 718 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 718 is 1
Notice that 1 = HCF(718,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 840 > 1, we apply the division lemma to 840 and 1, to get
840 = 1 x 840 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 840 is 1
Notice that 1 = HCF(840,1) .
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Frequently Asked Questions on HCF of 368, 905, 718, 840 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 368, 905, 718, 840?
Answer: HCF of 368, 905, 718, 840 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 368, 905, 718, 840 using Euclid's Algorithm?
Answer: For arbitrary numbers 368, 905, 718, 840 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
