Highest Common Factor of 7563, 6447 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 7563, 6447 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7563, 6447 is 3 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 7563, 6447 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 7563, 6447 is 3.
HCF(7563, 6447) = 3
HCF of 7563, 6447 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7563, 6447 is 3.
Highest Common Factor of 7563,6447 is 3
Step 1: Since 7563 > 6447, we apply the division lemma to 7563 and 6447, to get
7563 = 6447 x 1 + 1116
Step 2: Since the reminder 6447 ≠ 0, we apply division lemma to 1116 and 6447, to get
6447 = 1116 x 5 + 867
Step 3: We consider the new divisor 1116 and the new remainder 867, and apply the division lemma to get
1116 = 867 x 1 + 249
We consider the new divisor 867 and the new remainder 249,and apply the division lemma to get
867 = 249 x 3 + 120
We consider the new divisor 249 and the new remainder 120,and apply the division lemma to get
249 = 120 x 2 + 9
We consider the new divisor 120 and the new remainder 9,and apply the division lemma to get
120 = 9 x 13 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 7563 and 6447 is 3
Notice that 3 = HCF(9,3) = HCF(120,9) = HCF(249,120) = HCF(867,249) = HCF(1116,867) = HCF(6447,1116) = HCF(7563,6447) .
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Frequently Asked Questions on HCF of 7563, 6447 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 7563, 6447?
Answer: HCF of 7563, 6447 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7563, 6447 using Euclid's Algorithm?
Answer: For arbitrary numbers 7563, 6447 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.