Highest Common Factor of 268, 694, 153, 229 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 268, 694, 153, 229 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 268, 694, 153, 229 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 268, 694, 153, 229 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 268, 694, 153, 229 is 1.
HCF(268, 694, 153, 229) = 1
HCF of 268, 694, 153, 229 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 268, 694, 153, 229 is 1.
Highest Common Factor of 268,694,153,229 is 1
Step 1: Since 694 > 268, we apply the division lemma to 694 and 268, to get
694 = 268 x 2 + 158
Step 2: Since the reminder 268 ≠ 0, we apply division lemma to 158 and 268, to get
268 = 158 x 1 + 110
Step 3: We consider the new divisor 158 and the new remainder 110, and apply the division lemma to get
158 = 110 x 1 + 48
We consider the new divisor 110 and the new remainder 48,and apply the division lemma to get
110 = 48 x 2 + 14
We consider the new divisor 48 and the new remainder 14,and apply the division lemma to get
48 = 14 x 3 + 6
We consider the new divisor 14 and the new remainder 6,and apply the division lemma to get
14 = 6 x 2 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 268 and 694 is 2
Notice that 2 = HCF(6,2) = HCF(14,6) = HCF(48,14) = HCF(110,48) = HCF(158,110) = HCF(268,158) = HCF(694,268) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 153 > 2, we apply the division lemma to 153 and 2, to get
153 = 2 x 76 + 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 153 is 1
Notice that 1 = HCF(2,1) = HCF(153,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 229 > 1, we apply the division lemma to 229 and 1, to get
229 = 1 x 229 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 229 is 1
Notice that 1 = HCF(229,1) .
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Frequently Asked Questions on HCF of 268, 694, 153, 229 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 268, 694, 153, 229?
Answer: HCF of 268, 694, 153, 229 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 268, 694, 153, 229 using Euclid's Algorithm?
Answer: For arbitrary numbers 268, 694, 153, 229 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.