Highest Common Factor of 5215, 7752 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 5215, 7752 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5215, 7752 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 5215, 7752 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 5215, 7752 is 1.
HCF(5215, 7752) = 1
HCF of 5215, 7752 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5215, 7752 is 1.
Highest Common Factor of 5215,7752 is 1
Step 1: Since 7752 > 5215, we apply the division lemma to 7752 and 5215, to get
7752 = 5215 x 1 + 2537
Step 2: Since the reminder 5215 ≠ 0, we apply division lemma to 2537 and 5215, to get
5215 = 2537 x 2 + 141
Step 3: We consider the new divisor 2537 and the new remainder 141, and apply the division lemma to get
2537 = 141 x 17 + 140
We consider the new divisor 141 and the new remainder 140,and apply the division lemma to get
141 = 140 x 1 + 1
We consider the new divisor 140 and the new remainder 1,and apply the division lemma to get
140 = 1 x 140 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5215 and 7752 is 1
Notice that 1 = HCF(140,1) = HCF(141,140) = HCF(2537,141) = HCF(5215,2537) = HCF(7752,5215) .
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Frequently Asked Questions on HCF of 5215, 7752 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 5215, 7752?
Answer: HCF of 5215, 7752 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5215, 7752 using Euclid's Algorithm?
Answer: For arbitrary numbers 5215, 7752 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.