Highest Common Factor of 814, 290, 136, 913 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 814, 290, 136, 913 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 814, 290, 136, 913 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 814, 290, 136, 913 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 814, 290, 136, 913 is 1.
HCF(814, 290, 136, 913) = 1
HCF of 814, 290, 136, 913 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 814, 290, 136, 913 is 1.
Highest Common Factor of 814,290,136,913 is 1
Step 1: Since 814 > 290, we apply the division lemma to 814 and 290, to get
814 = 290 x 2 + 234
Step 2: Since the reminder 290 ≠ 0, we apply division lemma to 234 and 290, to get
290 = 234 x 1 + 56
Step 3: We consider the new divisor 234 and the new remainder 56, and apply the division lemma to get
234 = 56 x 4 + 10
We consider the new divisor 56 and the new remainder 10,and apply the division lemma to get
56 = 10 x 5 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 814 and 290 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(56,10) = HCF(234,56) = HCF(290,234) = HCF(814,290) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 136 > 2, we apply the division lemma to 136 and 2, to get
136 = 2 x 68 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 136 is 2
Notice that 2 = HCF(136,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 913 > 2, we apply the division lemma to 913 and 2, to get
913 = 2 x 456 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 913 is 1
Notice that 1 = HCF(2,1) = HCF(913,2) .
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Frequently Asked Questions on HCF of 814, 290, 136, 913 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 814, 290, 136, 913?
Answer: HCF of 814, 290, 136, 913 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 814, 290, 136, 913 using Euclid's Algorithm?
Answer: For arbitrary numbers 814, 290, 136, 913 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.