Highest Common Factor of 259, 814, 840, 122 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 259, 814, 840, 122 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 259, 814, 840, 122 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 259, 814, 840, 122 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 259, 814, 840, 122 is 1.
HCF(259, 814, 840, 122) = 1
HCF of 259, 814, 840, 122 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 259, 814, 840, 122 is 1.
Highest Common Factor of 259,814,840,122 is 1
Step 1: Since 814 > 259, we apply the division lemma to 814 and 259, to get
814 = 259 x 3 + 37
Step 2: Since the reminder 259 ≠ 0, we apply division lemma to 37 and 259, to get
259 = 37 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 37, the HCF of 259 and 814 is 37
Notice that 37 = HCF(259,37) = HCF(814,259) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 840 > 37, we apply the division lemma to 840 and 37, to get
840 = 37 x 22 + 26
Step 2: Since the reminder 37 ≠ 0, we apply division lemma to 26 and 37, to get
37 = 26 x 1 + 11
Step 3: We consider the new divisor 26 and the new remainder 11, and apply the division lemma to get
26 = 11 x 2 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 37 and 840 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(26,11) = HCF(37,26) = HCF(840,37) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 122 > 1, we apply the division lemma to 122 and 1, to get
122 = 1 x 122 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 122 is 1
Notice that 1 = HCF(122,1) .
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Frequently Asked Questions on HCF of 259, 814, 840, 122 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 259, 814, 840, 122?
Answer: HCF of 259, 814, 840, 122 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 259, 814, 840, 122 using Euclid's Algorithm?
Answer: For arbitrary numbers 259, 814, 840, 122 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.