Highest Common Factor of 7427, 7024, 77901 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 7427, 7024, 77901 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7427, 7024, 77901 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 7427, 7024, 77901 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 7427, 7024, 77901 is 1.
HCF(7427, 7024, 77901) = 1
HCF of 7427, 7024, 77901 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7427, 7024, 77901 is 1.
Highest Common Factor of 7427,7024,77901 is 1
Step 1: Since 7427 > 7024, we apply the division lemma to 7427 and 7024, to get
7427 = 7024 x 1 + 403
Step 2: Since the reminder 7024 ≠ 0, we apply division lemma to 403 and 7024, to get
7024 = 403 x 17 + 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 7427 and 7024 is 1
Notice that 1 = HCF(2,1) = HCF(57,2) = HCF(173,57) = HCF(403,173) = HCF(7024,403) = HCF(7427,7024) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 77901 > 1, we apply the division lemma to 77901 and 1, to get
77901 = 1 x 77901 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 77901 is 1
Notice that 1 = HCF(77901,1) .
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Frequently Asked Questions on HCF of 7427, 7024, 77901 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 7427, 7024, 77901?
Answer: HCF of 7427, 7024, 77901 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7427, 7024, 77901 using Euclid's Algorithm?
Answer: For arbitrary numbers 7427, 7024, 77901 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.