Highest Common Factor of 167, 600, 241 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 167, 600, 241 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 167, 600, 241 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 167, 600, 241 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 167, 600, 241 is 1.
HCF(167, 600, 241) = 1
HCF of 167, 600, 241 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 167, 600, 241 is 1.
Highest Common Factor of 167,600,241 is 1
Step 1: Since 600 > 167, we apply the division lemma to 600 and 167, to get
600 = 167 x 3 + 99
Step 2: Since the reminder 167 ≠ 0, we apply division lemma to 99 and 167, to get
167 = 99 x 1 + 68
Step 3: We consider the new divisor 99 and the new remainder 68, and apply the division lemma to get
99 = 68 x 1 + 31
We consider the new divisor 68 and the new remainder 31,and apply the division lemma to get
68 = 31 x 2 + 6
We consider the new divisor 31 and the new remainder 6,and apply the division lemma to get
31 = 6 x 5 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 167 and 600 is 1
Notice that 1 = HCF(6,1) = HCF(31,6) = HCF(68,31) = HCF(99,68) = HCF(167,99) = HCF(600,167) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 241 > 1, we apply the division lemma to 241 and 1, to get
241 = 1 x 241 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 241 is 1
Notice that 1 = HCF(241,1) .
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Frequently Asked Questions on HCF of 167, 600, 241 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 167, 600, 241?
Answer: HCF of 167, 600, 241 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 167, 600, 241 using Euclid's Algorithm?
Answer: For arbitrary numbers 167, 600, 241 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
