Highest Common Factor of 7559, 5381 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 7559, 5381 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7559, 5381 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 7559, 5381 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 7559, 5381 is 1.
HCF(7559, 5381) = 1
HCF of 7559, 5381 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7559, 5381 is 1.
Highest Common Factor of 7559,5381 is 1
Step 1: Since 7559 > 5381, we apply the division lemma to 7559 and 5381, to get
7559 = 5381 x 1 + 2178
Step 2: Since the reminder 5381 ≠ 0, we apply division lemma to 2178 and 5381, to get
5381 = 2178 x 2 + 1025
Step 3: We consider the new divisor 2178 and the new remainder 1025, and apply the division lemma to get
2178 = 1025 x 2 + 128
We consider the new divisor 1025 and the new remainder 128,and apply the division lemma to get
1025 = 128 x 8 + 1
We consider the new divisor 128 and the new remainder 1,and apply the division lemma to get
128 = 1 x 128 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7559 and 5381 is 1
Notice that 1 = HCF(128,1) = HCF(1025,128) = HCF(2178,1025) = HCF(5381,2178) = HCF(7559,5381) .
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Frequently Asked Questions on HCF of 7559, 5381 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 7559, 5381?
Answer: HCF of 7559, 5381 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7559, 5381 using Euclid's Algorithm?
Answer: For arbitrary numbers 7559, 5381 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.