Highest Common Factor of 5063, 6225 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 5063, 6225 i.e. 83 the largest integer that leaves a remainder zero for all numbers.
HCF of 5063, 6225 is 83 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 5063, 6225 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 5063, 6225 is 83.
HCF(5063, 6225) = 83
HCF of 5063, 6225 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5063, 6225 is 83.
Highest Common Factor of 5063,6225 is 83
Step 1: Since 6225 > 5063, we apply the division lemma to 6225 and 5063, to get
6225 = 5063 x 1 + 1162
Step 2: Since the reminder 5063 ≠ 0, we apply division lemma to 1162 and 5063, to get
5063 = 1162 x 4 + 415
Step 3: We consider the new divisor 1162 and the new remainder 415, and apply the division lemma to get
1162 = 415 x 2 + 332
We consider the new divisor 415 and the new remainder 332,and apply the division lemma to get
415 = 332 x 1 + 83
We consider the new divisor 332 and the new remainder 83,and apply the division lemma to get
332 = 83 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 83, the HCF of 5063 and 6225 is 83
Notice that 83 = HCF(332,83) = HCF(415,332) = HCF(1162,415) = HCF(5063,1162) = HCF(6225,5063) .
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Frequently Asked Questions on HCF of 5063, 6225 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 5063, 6225?
Answer: HCF of 5063, 6225 is 83 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5063, 6225 using Euclid's Algorithm?
Answer: For arbitrary numbers 5063, 6225 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.