Highest Common Factor of 5853, 7552 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 5853, 7552 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5853, 7552 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 5853, 7552 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 5853, 7552 is 1.
HCF(5853, 7552) = 1
HCF of 5853, 7552 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5853, 7552 is 1.
Highest Common Factor of 5853,7552 is 1
Step 1: Since 7552 > 5853, we apply the division lemma to 7552 and 5853, to get
7552 = 5853 x 1 + 1699
Step 2: Since the reminder 5853 ≠ 0, we apply division lemma to 1699 and 5853, to get
5853 = 1699 x 3 + 756
Step 3: We consider the new divisor 1699 and the new remainder 756, and apply the division lemma to get
1699 = 756 x 2 + 187
We consider the new divisor 756 and the new remainder 187,and apply the division lemma to get
756 = 187 x 4 + 8
We consider the new divisor 187 and the new remainder 8,and apply the division lemma to get
187 = 8 x 23 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 5853 and 7552 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(187,8) = HCF(756,187) = HCF(1699,756) = HCF(5853,1699) = HCF(7552,5853) .
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Frequently Asked Questions on HCF of 5853, 7552 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 5853, 7552?
Answer: HCF of 5853, 7552 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5853, 7552 using Euclid's Algorithm?
Answer: For arbitrary numbers 5853, 7552 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.