Highest Common Factor of 996, 7351 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 996, 7351 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 996, 7351 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 996, 7351 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 996, 7351 is 1.
HCF(996, 7351) = 1
HCF of 996, 7351 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 996, 7351 is 1.
Highest Common Factor of 996,7351 is 1
Step 1: Since 7351 > 996, we apply the division lemma to 7351 and 996, to get
7351 = 996 x 7 + 379
Step 2: Since the reminder 996 ≠ 0, we apply division lemma to 379 and 996, to get
996 = 379 x 2 + 238
Step 3: We consider the new divisor 379 and the new remainder 238, and apply the division lemma to get
379 = 238 x 1 + 141
We consider the new divisor 238 and the new remainder 141,and apply the division lemma to get
238 = 141 x 1 + 97
We consider the new divisor 141 and the new remainder 97,and apply the division lemma to get
141 = 97 x 1 + 44
We consider the new divisor 97 and the new remainder 44,and apply the division lemma to get
97 = 44 x 2 + 9
We consider the new divisor 44 and the new remainder 9,and apply the division lemma to get
44 = 9 x 4 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 996 and 7351 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(44,9) = HCF(97,44) = HCF(141,97) = HCF(238,141) = HCF(379,238) = HCF(996,379) = HCF(7351,996) .
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Frequently Asked Questions on HCF of 996, 7351 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 996, 7351?
Answer: HCF of 996, 7351 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 996, 7351 using Euclid's Algorithm?
Answer: For arbitrary numbers 996, 7351 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.