Highest Common Factor of 7419, 6001, 77524 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 7419, 6001, 77524 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7419, 6001, 77524 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 7419, 6001, 77524 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 7419, 6001, 77524 is 1.
HCF(7419, 6001, 77524) = 1
HCF of 7419, 6001, 77524 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7419, 6001, 77524 is 1.
Highest Common Factor of 7419,6001,77524 is 1
Step 1: Since 7419 > 6001, we apply the division lemma to 7419 and 6001, to get
7419 = 6001 x 1 + 1418
Step 2: Since the reminder 6001 ≠ 0, we apply division lemma to 1418 and 6001, to get
6001 = 1418 x 4 + 329
Step 3: We consider the new divisor 1418 and the new remainder 329, and apply the division lemma to get
1418 = 329 x 4 + 102
We consider the new divisor 329 and the new remainder 102,and apply the division lemma to get
329 = 102 x 3 + 23
We consider the new divisor 102 and the new remainder 23,and apply the division lemma to get
102 = 23 x 4 + 10
We consider the new divisor 23 and the new remainder 10,and apply the division lemma to get
23 = 10 x 2 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7419 and 6001 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(23,10) = HCF(102,23) = HCF(329,102) = HCF(1418,329) = HCF(6001,1418) = HCF(7419,6001) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 77524 > 1, we apply the division lemma to 77524 and 1, to get
77524 = 1 x 77524 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 77524 is 1
Notice that 1 = HCF(77524,1) .
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Frequently Asked Questions on HCF of 7419, 6001, 77524 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 7419, 6001, 77524?
Answer: HCF of 7419, 6001, 77524 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7419, 6001, 77524 using Euclid's Algorithm?
Answer: For arbitrary numbers 7419, 6001, 77524 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.