Highest Common Factor of 790, 9524, 7535 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 790, 9524, 7535 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 790, 9524, 7535 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 790, 9524, 7535 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 790, 9524, 7535 is 1.
HCF(790, 9524, 7535) = 1
HCF of 790, 9524, 7535 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 790, 9524, 7535 is 1.
Highest Common Factor of 790,9524,7535 is 1
Step 1: Since 9524 > 790, we apply the division lemma to 9524 and 790, to get
9524 = 790 x 12 + 44
Step 2: Since the reminder 790 ≠ 0, we apply division lemma to 44 and 790, to get
790 = 44 x 17 + 42
Step 3: We consider the new divisor 44 and the new remainder 42, and apply the division lemma to get
44 = 42 x 1 + 2
We consider the new divisor 42 and the new remainder 2, and apply the division lemma to get
42 = 2 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 790 and 9524 is 2
Notice that 2 = HCF(42,2) = HCF(44,42) = HCF(790,44) = HCF(9524,790) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 7535 > 2, we apply the division lemma to 7535 and 2, to get
7535 = 2 x 3767 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 7535 is 1
Notice that 1 = HCF(2,1) = HCF(7535,2) .
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Frequently Asked Questions on HCF of 790, 9524, 7535 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 790, 9524, 7535?
Answer: HCF of 790, 9524, 7535 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 790, 9524, 7535 using Euclid's Algorithm?
Answer: For arbitrary numbers 790, 9524, 7535 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.