Highest Common Factor of 1934, 5372, 75439 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 1934, 5372, 75439 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1934, 5372, 75439 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 1934, 5372, 75439 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 1934, 5372, 75439 is 1.
HCF(1934, 5372, 75439) = 1
HCF of 1934, 5372, 75439 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1934, 5372, 75439 is 1.
Highest Common Factor of 1934,5372,75439 is 1
Step 1: Since 5372 > 1934, we apply the division lemma to 5372 and 1934, to get
5372 = 1934 x 2 + 1504
Step 2: Since the reminder 1934 ≠ 0, we apply division lemma to 1504 and 1934, to get
1934 = 1504 x 1 + 430
Step 3: We consider the new divisor 1504 and the new remainder 430, and apply the division lemma to get
1504 = 430 x 3 + 214
We consider the new divisor 430 and the new remainder 214,and apply the division lemma to get
430 = 214 x 2 + 2
We consider the new divisor 214 and the new remainder 2,and apply the division lemma to get
214 = 2 x 107 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1934 and 5372 is 2
Notice that 2 = HCF(214,2) = HCF(430,214) = HCF(1504,430) = HCF(1934,1504) = HCF(5372,1934) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 75439 > 2, we apply the division lemma to 75439 and 2, to get
75439 = 2 x 37719 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 75439 is 1
Notice that 1 = HCF(2,1) = HCF(75439,2) .
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Frequently Asked Questions on HCF of 1934, 5372, 75439 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 1934, 5372, 75439?
Answer: HCF of 1934, 5372, 75439 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1934, 5372, 75439 using Euclid's Algorithm?
Answer: For arbitrary numbers 1934, 5372, 75439 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.