Highest Common Factor of 957, 759, 37 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 957, 759, 37 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 957, 759, 37 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 957, 759, 37 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 957, 759, 37 is 1.
HCF(957, 759, 37) = 1
HCF of 957, 759, 37 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 957, 759, 37 is 1.
Highest Common Factor of 957,759,37 is 1
Step 1: Since 957 > 759, we apply the division lemma to 957 and 759, to get
957 = 759 x 1 + 198
Step 2: Since the reminder 759 ≠ 0, we apply division lemma to 198 and 759, to get
759 = 198 x 3 + 165
Step 3: We consider the new divisor 198 and the new remainder 165, and apply the division lemma to get
198 = 165 x 1 + 33
We consider the new divisor 165 and the new remainder 33, and apply the division lemma to get
165 = 33 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 33, the HCF of 957 and 759 is 33
Notice that 33 = HCF(165,33) = HCF(198,165) = HCF(759,198) = HCF(957,759) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 37 > 33, we apply the division lemma to 37 and 33, to get
37 = 33 x 1 + 4
Step 2: Since the reminder 33 ≠ 0, we apply division lemma to 4 and 33, to get
33 = 4 x 8 + 1
Step 3: We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 33 and 37 is 1
Notice that 1 = HCF(4,1) = HCF(33,4) = HCF(37,33) .
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Frequently Asked Questions on HCF of 957, 759, 37 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 957, 759, 37?
Answer: HCF of 957, 759, 37 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 957, 759, 37 using Euclid's Algorithm?
Answer: For arbitrary numbers 957, 759, 37 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
