Highest Common Factor of 7502, 1521, 68111 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 7502, 1521, 68111 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7502, 1521, 68111 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 7502, 1521, 68111 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 7502, 1521, 68111 is 1.
HCF(7502, 1521, 68111) = 1
HCF of 7502, 1521, 68111 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7502, 1521, 68111 is 1.
Highest Common Factor of 7502,1521,68111 is 1
Step 1: Since 7502 > 1521, we apply the division lemma to 7502 and 1521, to get
7502 = 1521 x 4 + 1418
Step 2: Since the reminder 1521 ≠ 0, we apply division lemma to 1418 and 1521, to get
1521 = 1418 x 1 + 103
Step 3: We consider the new divisor 1418 and the new remainder 103, and apply the division lemma to get
1418 = 103 x 13 + 79
We consider the new divisor 103 and the new remainder 79,and apply the division lemma to get
103 = 79 x 1 + 24
We consider the new divisor 79 and the new remainder 24,and apply the division lemma to get
79 = 24 x 3 + 7
We consider the new divisor 24 and the new remainder 7,and apply the division lemma to get
24 = 7 x 3 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 7502 and 1521 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(24,7) = HCF(79,24) = HCF(103,79) = HCF(1418,103) = HCF(1521,1418) = HCF(7502,1521) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 68111 > 1, we apply the division lemma to 68111 and 1, to get
68111 = 1 x 68111 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 68111 is 1
Notice that 1 = HCF(68111,1) .
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Frequently Asked Questions on HCF of 7502, 1521, 68111 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 7502, 1521, 68111?
Answer: HCF of 7502, 1521, 68111 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7502, 1521, 68111 using Euclid's Algorithm?
Answer: For arbitrary numbers 7502, 1521, 68111 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.