Highest Common Factor of 5918, 7523 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 5918, 7523 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5918, 7523 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 5918, 7523 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 5918, 7523 is 1.
HCF(5918, 7523) = 1
HCF of 5918, 7523 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5918, 7523 is 1.
Highest Common Factor of 5918,7523 is 1
Step 1: Since 7523 > 5918, we apply the division lemma to 7523 and 5918, to get
7523 = 5918 x 1 + 1605
Step 2: Since the reminder 5918 ≠ 0, we apply division lemma to 1605 and 5918, to get
5918 = 1605 x 3 + 1103
Step 3: We consider the new divisor 1605 and the new remainder 1103, and apply the division lemma to get
1605 = 1103 x 1 + 502
We consider the new divisor 1103 and the new remainder 502,and apply the division lemma to get
1103 = 502 x 2 + 99
We consider the new divisor 502 and the new remainder 99,and apply the division lemma to get
502 = 99 x 5 + 7
We consider the new divisor 99 and the new remainder 7,and apply the division lemma to get
99 = 7 x 14 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5918 and 7523 is 1
Notice that 1 = HCF(7,1) = HCF(99,7) = HCF(502,99) = HCF(1103,502) = HCF(1605,1103) = HCF(5918,1605) = HCF(7523,5918) .
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Frequently Asked Questions on HCF of 5918, 7523 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 5918, 7523?
Answer: HCF of 5918, 7523 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5918, 7523 using Euclid's Algorithm?
Answer: For arbitrary numbers 5918, 7523 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.