Highest Common Factor of 2163, 7763 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 2163, 7763 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 2163, 7763 is 7 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 2163, 7763 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 2163, 7763 is 7.
HCF(2163, 7763) = 7
HCF of 2163, 7763 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2163, 7763 is 7.
Highest Common Factor of 2163,7763 is 7
Step 1: Since 7763 > 2163, we apply the division lemma to 7763 and 2163, to get
7763 = 2163 x 3 + 1274
Step 2: Since the reminder 2163 ≠ 0, we apply division lemma to 1274 and 2163, to get
2163 = 1274 x 1 + 889
Step 3: We consider the new divisor 1274 and the new remainder 889, and apply the division lemma to get
1274 = 889 x 1 + 385
We consider the new divisor 889 and the new remainder 385,and apply the division lemma to get
889 = 385 x 2 + 119
We consider the new divisor 385 and the new remainder 119,and apply the division lemma to get
385 = 119 x 3 + 28
We consider the new divisor 119 and the new remainder 28,and apply the division lemma to get
119 = 28 x 4 + 7
We consider the new divisor 28 and the new remainder 7,and apply the division lemma to get
28 = 7 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 2163 and 7763 is 7
Notice that 7 = HCF(28,7) = HCF(119,28) = HCF(385,119) = HCF(889,385) = HCF(1274,889) = HCF(2163,1274) = HCF(7763,2163) .
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Frequently Asked Questions on HCF of 2163, 7763 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 2163, 7763?
Answer: HCF of 2163, 7763 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2163, 7763 using Euclid's Algorithm?
Answer: For arbitrary numbers 2163, 7763 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.