Highest Common Factor of 711, 805, 222 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 711, 805, 222 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 711, 805, 222 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 711, 805, 222 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 711, 805, 222 is 1.
HCF(711, 805, 222) = 1
HCF of 711, 805, 222 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 711, 805, 222 is 1.
Highest Common Factor of 711,805,222 is 1
Step 1: Since 805 > 711, we apply the division lemma to 805 and 711, to get
805 = 711 x 1 + 94
Step 2: Since the reminder 711 ≠ 0, we apply division lemma to 94 and 711, to get
711 = 94 x 7 + 53
Step 3: We consider the new divisor 94 and the new remainder 53, and apply the division lemma to get
94 = 53 x 1 + 41
We consider the new divisor 53 and the new remainder 41,and apply the division lemma to get
53 = 41 x 1 + 12
We consider the new divisor 41 and the new remainder 12,and apply the division lemma to get
41 = 12 x 3 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 711 and 805 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(41,12) = HCF(53,41) = HCF(94,53) = HCF(711,94) = HCF(805,711) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 222 > 1, we apply the division lemma to 222 and 1, to get
222 = 1 x 222 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 222 is 1
Notice that 1 = HCF(222,1) .
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Frequently Asked Questions on HCF of 711, 805, 222 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 711, 805, 222?
Answer: HCF of 711, 805, 222 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 711, 805, 222 using Euclid's Algorithm?
Answer: For arbitrary numbers 711, 805, 222 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.