Highest Common Factor of 235, 136, 544, 937 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 235, 136, 544, 937 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 235, 136, 544, 937 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 235, 136, 544, 937 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 235, 136, 544, 937 is 1.
HCF(235, 136, 544, 937) = 1
HCF of 235, 136, 544, 937 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 235, 136, 544, 937 is 1.
Highest Common Factor of 235,136,544,937 is 1
Step 1: Since 235 > 136, we apply the division lemma to 235 and 136, to get
235 = 136 x 1 + 99
Step 2: Since the reminder 136 ≠ 0, we apply division lemma to 99 and 136, to get
136 = 99 x 1 + 37
Step 3: We consider the new divisor 99 and the new remainder 37, and apply the division lemma to get
99 = 37 x 2 + 25
We consider the new divisor 37 and the new remainder 25,and apply the division lemma to get
37 = 25 x 1 + 12
We consider the new divisor 25 and the new remainder 12,and apply the division lemma to get
25 = 12 x 2 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 235 and 136 is 1
Notice that 1 = HCF(12,1) = HCF(25,12) = HCF(37,25) = HCF(99,37) = HCF(136,99) = HCF(235,136) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 544 > 1, we apply the division lemma to 544 and 1, to get
544 = 1 x 544 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 544 is 1
Notice that 1 = HCF(544,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 937 > 1, we apply the division lemma to 937 and 1, to get
937 = 1 x 937 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 937 is 1
Notice that 1 = HCF(937,1) .
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Frequently Asked Questions on HCF of 235, 136, 544, 937 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 235, 136, 544, 937?
Answer: HCF of 235, 136, 544, 937 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 235, 136, 544, 937 using Euclid's Algorithm?
Answer: For arbitrary numbers 235, 136, 544, 937 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.