Highest Common Factor of 937, 575, 839, 127 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 937, 575, 839, 127 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 937, 575, 839, 127 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 937, 575, 839, 127 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 937, 575, 839, 127 is 1.
HCF(937, 575, 839, 127) = 1
HCF of 937, 575, 839, 127 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 937, 575, 839, 127 is 1.
Highest Common Factor of 937,575,839,127 is 1
Step 1: Since 937 > 575, we apply the division lemma to 937 and 575, to get
937 = 575 x 1 + 362
Step 2: Since the reminder 575 ≠ 0, we apply division lemma to 362 and 575, to get
575 = 362 x 1 + 213
Step 3: We consider the new divisor 362 and the new remainder 213, and apply the division lemma to get
362 = 213 x 1 + 149
We consider the new divisor 213 and the new remainder 149,and apply the division lemma to get
213 = 149 x 1 + 64
We consider the new divisor 149 and the new remainder 64,and apply the division lemma to get
149 = 64 x 2 + 21
We consider the new divisor 64 and the new remainder 21,and apply the division lemma to get
64 = 21 x 3 + 1
We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 937 and 575 is 1
Notice that 1 = HCF(21,1) = HCF(64,21) = HCF(149,64) = HCF(213,149) = HCF(362,213) = HCF(575,362) = HCF(937,575) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 839 > 1, we apply the division lemma to 839 and 1, to get
839 = 1 x 839 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 839 is 1
Notice that 1 = HCF(839,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 127 > 1, we apply the division lemma to 127 and 1, to get
127 = 1 x 127 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 127 is 1
Notice that 1 = HCF(127,1) .
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Frequently Asked Questions on HCF of 937, 575, 839, 127 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 937, 575, 839, 127?
Answer: HCF of 937, 575, 839, 127 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 937, 575, 839, 127 using Euclid's Algorithm?
Answer: For arbitrary numbers 937, 575, 839, 127 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.