Highest Common Factor of 8361, 6503 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 8361, 6503 i.e. 929 the largest integer that leaves a remainder zero for all numbers.
HCF of 8361, 6503 is 929 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 8361, 6503 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 8361, 6503 is 929.
HCF(8361, 6503) = 929
HCF of 8361, 6503 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8361, 6503 is 929.
Highest Common Factor of 8361,6503 is 929
Step 1: Since 8361 > 6503, we apply the division lemma to 8361 and 6503, to get
8361 = 6503 x 1 + 1858
Step 2: Since the reminder 6503 ≠ 0, we apply division lemma to 1858 and 6503, to get
6503 = 1858 x 3 + 929
Step 3: We consider the new divisor 1858 and the new remainder 929, and apply the division lemma to get
1858 = 929 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 929, the HCF of 8361 and 6503 is 929
Notice that 929 = HCF(1858,929) = HCF(6503,1858) = HCF(8361,6503) .
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Frequently Asked Questions on HCF of 8361, 6503 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 8361, 6503?
Answer: HCF of 8361, 6503 is 929 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8361, 6503 using Euclid's Algorithm?
Answer: For arbitrary numbers 8361, 6503 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.