Highest Common Factor of 7830, 7427, 68741 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 7830, 7427, 68741 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7830, 7427, 68741 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 7830, 7427, 68741 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 7830, 7427, 68741 is 1.
HCF(7830, 7427, 68741) = 1
HCF of 7830, 7427, 68741 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7830, 7427, 68741 is 1.
Highest Common Factor of 7830,7427,68741 is 1
Step 1: Since 7830 > 7427, we apply the division lemma to 7830 and 7427, to get
7830 = 7427 x 1 + 403
Step 2: Since the reminder 7427 ≠ 0, we apply division lemma to 403 and 7427, to get
7427 = 403 x 18 + 173
Step 3: We consider the new divisor 403 and the new remainder 173, and apply the division lemma to get
403 = 173 x 2 + 57
We consider the new divisor 173 and the new remainder 57,and apply the division lemma to get
173 = 57 x 3 + 2
We consider the new divisor 57 and the new remainder 2,and apply the division lemma to get
57 = 2 x 28 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 7830 and 7427 is 1
Notice that 1 = HCF(2,1) = HCF(57,2) = HCF(173,57) = HCF(403,173) = HCF(7427,403) = HCF(7830,7427) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 68741 > 1, we apply the division lemma to 68741 and 1, to get
68741 = 1 x 68741 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 68741 is 1
Notice that 1 = HCF(68741,1) .
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Frequently Asked Questions on HCF of 7830, 7427, 68741 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 7830, 7427, 68741?
Answer: HCF of 7830, 7427, 68741 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7830, 7427, 68741 using Euclid's Algorithm?
Answer: For arbitrary numbers 7830, 7427, 68741 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.