Highest Common Factor of 993, 7651 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 993, 7651 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 993, 7651 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 993, 7651 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 993, 7651 is 1.
HCF(993, 7651) = 1
HCF of 993, 7651 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 993, 7651 is 1.
Highest Common Factor of 993,7651 is 1
Step 1: Since 7651 > 993, we apply the division lemma to 7651 and 993, to get
7651 = 993 x 7 + 700
Step 2: Since the reminder 993 ≠ 0, we apply division lemma to 700 and 993, to get
993 = 700 x 1 + 293
Step 3: We consider the new divisor 700 and the new remainder 293, and apply the division lemma to get
700 = 293 x 2 + 114
We consider the new divisor 293 and the new remainder 114,and apply the division lemma to get
293 = 114 x 2 + 65
We consider the new divisor 114 and the new remainder 65,and apply the division lemma to get
114 = 65 x 1 + 49
We consider the new divisor 65 and the new remainder 49,and apply the division lemma to get
65 = 49 x 1 + 16
We consider the new divisor 49 and the new remainder 16,and apply the division lemma to get
49 = 16 x 3 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 993 and 7651 is 1
Notice that 1 = HCF(16,1) = HCF(49,16) = HCF(65,49) = HCF(114,65) = HCF(293,114) = HCF(700,293) = HCF(993,700) = HCF(7651,993) .
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Frequently Asked Questions on HCF of 993, 7651 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 993, 7651?
Answer: HCF of 993, 7651 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 993, 7651 using Euclid's Algorithm?
Answer: For arbitrary numbers 993, 7651 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.