Highest Common Factor of 745, 163, 116, 61 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 745, 163, 116, 61 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 745, 163, 116, 61 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 745, 163, 116, 61 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 745, 163, 116, 61 is 1.
HCF(745, 163, 116, 61) = 1
HCF of 745, 163, 116, 61 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 745, 163, 116, 61 is 1.
Highest Common Factor of 745,163,116,61 is 1
Step 1: Since 745 > 163, we apply the division lemma to 745 and 163, to get
745 = 163 x 4 + 93
Step 2: Since the reminder 163 ≠ 0, we apply division lemma to 93 and 163, to get
163 = 93 x 1 + 70
Step 3: We consider the new divisor 93 and the new remainder 70, and apply the division lemma to get
93 = 70 x 1 + 23
We consider the new divisor 70 and the new remainder 23,and apply the division lemma to get
70 = 23 x 3 + 1
We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 745 and 163 is 1
Notice that 1 = HCF(23,1) = HCF(70,23) = HCF(93,70) = HCF(163,93) = HCF(745,163) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 116 > 1, we apply the division lemma to 116 and 1, to get
116 = 1 x 116 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 116 is 1
Notice that 1 = HCF(116,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 61 > 1, we apply the division lemma to 61 and 1, to get
61 = 1 x 61 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 61 is 1
Notice that 1 = HCF(61,1) .
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Frequently Asked Questions on HCF of 745, 163, 116, 61 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 745, 163, 116, 61?
Answer: HCF of 745, 163, 116, 61 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 745, 163, 116, 61 using Euclid's Algorithm?
Answer: For arbitrary numbers 745, 163, 116, 61 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.