Highest Common Factor of 101, 166, 59, 320 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 101, 166, 59, 320 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 101, 166, 59, 320 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 101, 166, 59, 320 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 101, 166, 59, 320 is 1.
HCF(101, 166, 59, 320) = 1
HCF of 101, 166, 59, 320 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 101, 166, 59, 320 is 1.
Highest Common Factor of 101,166,59,320 is 1
Step 1: Since 166 > 101, we apply the division lemma to 166 and 101, to get
166 = 101 x 1 + 65
Step 2: Since the reminder 101 ≠ 0, we apply division lemma to 65 and 101, to get
101 = 65 x 1 + 36
Step 3: We consider the new divisor 65 and the new remainder 36, and apply the division lemma to get
65 = 36 x 1 + 29
We consider the new divisor 36 and the new remainder 29,and apply the division lemma to get
36 = 29 x 1 + 7
We consider the new divisor 29 and the new remainder 7,and apply the division lemma to get
29 = 7 x 4 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 101 and 166 is 1
Notice that 1 = HCF(7,1) = HCF(29,7) = HCF(36,29) = HCF(65,36) = HCF(101,65) = HCF(166,101) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 59 > 1, we apply the division lemma to 59 and 1, to get
59 = 1 x 59 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 59 is 1
Notice that 1 = HCF(59,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 320 > 1, we apply the division lemma to 320 and 1, to get
320 = 1 x 320 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 320 is 1
Notice that 1 = HCF(320,1) .
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Frequently Asked Questions on HCF of 101, 166, 59, 320 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 101, 166, 59, 320?
Answer: HCF of 101, 166, 59, 320 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 101, 166, 59, 320 using Euclid's Algorithm?
Answer: For arbitrary numbers 101, 166, 59, 320 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.