Highest Common Factor of 211, 967, 48 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 211, 967, 48 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 211, 967, 48 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 211, 967, 48 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 211, 967, 48 is 1.
HCF(211, 967, 48) = 1
HCF of 211, 967, 48 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 211, 967, 48 is 1.
Highest Common Factor of 211,967,48 is 1
Step 1: Since 967 > 211, we apply the division lemma to 967 and 211, to get
967 = 211 x 4 + 123
Step 2: Since the reminder 211 ≠ 0, we apply division lemma to 123 and 211, to get
211 = 123 x 1 + 88
Step 3: We consider the new divisor 123 and the new remainder 88, and apply the division lemma to get
123 = 88 x 1 + 35
We consider the new divisor 88 and the new remainder 35,and apply the division lemma to get
88 = 35 x 2 + 18
We consider the new divisor 35 and the new remainder 18,and apply the division lemma to get
35 = 18 x 1 + 17
We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get
18 = 17 x 1 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 211 and 967 is 1
Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(35,18) = HCF(88,35) = HCF(123,88) = HCF(211,123) = HCF(967,211) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 48 > 1, we apply the division lemma to 48 and 1, to get
48 = 1 x 48 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 48 is 1
Notice that 1 = HCF(48,1) .
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Frequently Asked Questions on HCF of 211, 967, 48 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 211, 967, 48?
Answer: HCF of 211, 967, 48 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 211, 967, 48 using Euclid's Algorithm?
Answer: For arbitrary numbers 211, 967, 48 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
