Highest Common Factor of 967, 221, 199, 509 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 967, 221, 199, 509 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 967, 221, 199, 509 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 967, 221, 199, 509 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 967, 221, 199, 509 is 1.
HCF(967, 221, 199, 509) = 1
HCF of 967, 221, 199, 509 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 967, 221, 199, 509 is 1.
Highest Common Factor of 967,221,199,509 is 1
Step 1: Since 967 > 221, we apply the division lemma to 967 and 221, to get
967 = 221 x 4 + 83
Step 2: Since the reminder 221 ≠ 0, we apply division lemma to 83 and 221, to get
221 = 83 x 2 + 55
Step 3: We consider the new divisor 83 and the new remainder 55, and apply the division lemma to get
83 = 55 x 1 + 28
We consider the new divisor 55 and the new remainder 28,and apply the division lemma to get
55 = 28 x 1 + 27
We consider the new divisor 28 and the new remainder 27,and apply the division lemma to get
28 = 27 x 1 + 1
We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get
27 = 1 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 967 and 221 is 1
Notice that 1 = HCF(27,1) = HCF(28,27) = HCF(55,28) = HCF(83,55) = HCF(221,83) = HCF(967,221) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 199 > 1, we apply the division lemma to 199 and 1, to get
199 = 1 x 199 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 199 is 1
Notice that 1 = HCF(199,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 509 > 1, we apply the division lemma to 509 and 1, to get
509 = 1 x 509 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 509 is 1
Notice that 1 = HCF(509,1) .
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Frequently Asked Questions on HCF of 967, 221, 199, 509 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 967, 221, 199, 509?
Answer: HCF of 967, 221, 199, 509 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 967, 221, 199, 509 using Euclid's Algorithm?
Answer: For arbitrary numbers 967, 221, 199, 509 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.