Highest Common Factor of 3375, 2683, 87958 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 3375, 2683, 87958 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3375, 2683, 87958 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 3375, 2683, 87958 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 3375, 2683, 87958 is 1.
HCF(3375, 2683, 87958) = 1
HCF of 3375, 2683, 87958 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3375, 2683, 87958 is 1.
Highest Common Factor of 3375,2683,87958 is 1
Step 1: Since 3375 > 2683, we apply the division lemma to 3375 and 2683, to get
3375 = 2683 x 1 + 692
Step 2: Since the reminder 2683 ≠ 0, we apply division lemma to 692 and 2683, to get
2683 = 692 x 3 + 607
Step 3: We consider the new divisor 692 and the new remainder 607, and apply the division lemma to get
692 = 607 x 1 + 85
We consider the new divisor 607 and the new remainder 85,and apply the division lemma to get
607 = 85 x 7 + 12
We consider the new divisor 85 and the new remainder 12,and apply the division lemma to get
85 = 12 x 7 + 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 3375 and 2683 is 1
Notice that 1 = HCF(12,1) = HCF(85,12) = HCF(607,85) = HCF(692,607) = HCF(2683,692) = HCF(3375,2683) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 87958 > 1, we apply the division lemma to 87958 and 1, to get
87958 = 1 x 87958 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 87958 is 1
Notice that 1 = HCF(87958,1) .
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Frequently Asked Questions on HCF of 3375, 2683, 87958 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 3375, 2683, 87958?
Answer: HCF of 3375, 2683, 87958 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3375, 2683, 87958 using Euclid's Algorithm?
Answer: For arbitrary numbers 3375, 2683, 87958 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.