Highest Common Factor of 222, 813, 908 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 222, 813, 908 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 222, 813, 908 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 222, 813, 908 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 222, 813, 908 is 1.
HCF(222, 813, 908) = 1
HCF of 222, 813, 908 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 222, 813, 908 is 1.
Highest Common Factor of 222,813,908 is 1
Step 1: Since 813 > 222, we apply the division lemma to 813 and 222, to get
813 = 222 x 3 + 147
Step 2: Since the reminder 222 ≠ 0, we apply division lemma to 147 and 222, to get
222 = 147 x 1 + 75
Step 3: We consider the new divisor 147 and the new remainder 75, and apply the division lemma to get
147 = 75 x 1 + 72
We consider the new divisor 75 and the new remainder 72,and apply the division lemma to get
75 = 72 x 1 + 3
We consider the new divisor 72 and the new remainder 3,and apply the division lemma to get
72 = 3 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 222 and 813 is 3
Notice that 3 = HCF(72,3) = HCF(75,72) = HCF(147,75) = HCF(222,147) = HCF(813,222) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 908 > 3, we apply the division lemma to 908 and 3, to get
908 = 3 x 302 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: 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 3 and 908 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(908,3) .
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Frequently Asked Questions on HCF of 222, 813, 908 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 222, 813, 908?
Answer: HCF of 222, 813, 908 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 222, 813, 908 using Euclid's Algorithm?
Answer: For arbitrary numbers 222, 813, 908 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.