Highest Common Factor of 59, 96, 36, 126 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 59, 96, 36, 126 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 59, 96, 36, 126 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 59, 96, 36, 126 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 59, 96, 36, 126 is 1.
HCF(59, 96, 36, 126) = 1
HCF of 59, 96, 36, 126 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 59, 96, 36, 126 is 1.
Highest Common Factor of 59,96,36,126 is 1
Step 1: Since 96 > 59, we apply the division lemma to 96 and 59, to get
96 = 59 x 1 + 37
Step 2: Since the reminder 59 ≠ 0, we apply division lemma to 37 and 59, to get
59 = 37 x 1 + 22
Step 3: We consider the new divisor 37 and the new remainder 22, and apply the division lemma to get
37 = 22 x 1 + 15
We consider the new divisor 22 and the new remainder 15,and apply the division lemma to get
22 = 15 x 1 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 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 59 and 96 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(22,15) = HCF(37,22) = HCF(59,37) = HCF(96,59) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 36 > 1, we apply the division lemma to 36 and 1, to get
36 = 1 x 36 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 36 is 1
Notice that 1 = HCF(36,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 126 > 1, we apply the division lemma to 126 and 1, to get
126 = 1 x 126 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 126 is 1
Notice that 1 = HCF(126,1) .
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Frequently Asked Questions on HCF of 59, 96, 36, 126 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 59, 96, 36, 126?
Answer: HCF of 59, 96, 36, 126 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 59, 96, 36, 126 using Euclid's Algorithm?
Answer: For arbitrary numbers 59, 96, 36, 126 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.