Highest Common Factor of 7596, 7822 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 7596, 7822 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7596, 7822 is 2 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 7596, 7822 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 7596, 7822 is 2.
HCF(7596, 7822) = 2
HCF of 7596, 7822 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7596, 7822 is 2.
Highest Common Factor of 7596,7822 is 2
Step 1: Since 7822 > 7596, we apply the division lemma to 7822 and 7596, to get
7822 = 7596 x 1 + 226
Step 2: Since the reminder 7596 ≠ 0, we apply division lemma to 226 and 7596, to get
7596 = 226 x 33 + 138
Step 3: We consider the new divisor 226 and the new remainder 138, and apply the division lemma to get
226 = 138 x 1 + 88
We consider the new divisor 138 and the new remainder 88,and apply the division lemma to get
138 = 88 x 1 + 50
We consider the new divisor 88 and the new remainder 50,and apply the division lemma to get
88 = 50 x 1 + 38
We consider the new divisor 50 and the new remainder 38,and apply the division lemma to get
50 = 38 x 1 + 12
We consider the new divisor 38 and the new remainder 12,and apply the division lemma to get
38 = 12 x 3 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7596 and 7822 is 2
Notice that 2 = HCF(12,2) = HCF(38,12) = HCF(50,38) = HCF(88,50) = HCF(138,88) = HCF(226,138) = HCF(7596,226) = HCF(7822,7596) .
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Frequently Asked Questions on HCF of 7596, 7822 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 7596, 7822?
Answer: HCF of 7596, 7822 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7596, 7822 using Euclid's Algorithm?
Answer: For arbitrary numbers 7596, 7822 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.