Highest Common Factor of 5467, 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 5467, 6447 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 5467, 6447 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 5467, 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 5467, 6447 is 7.
HCF(5467, 6447) = 7
HCF of 5467, 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 5467, 6447 is 7.
Highest Common Factor of 5467,6447 is 7
Step 1: Since 6447 > 5467, we apply the division lemma to 6447 and 5467, to get
6447 = 5467 x 1 + 980
Step 2: Since the reminder 5467 ≠ 0, we apply division lemma to 980 and 5467, to get
5467 = 980 x 5 + 567
Step 3: We consider the new divisor 980 and the new remainder 567, and apply the division lemma to get
980 = 567 x 1 + 413
We consider the new divisor 567 and the new remainder 413,and apply the division lemma to get
567 = 413 x 1 + 154
We consider the new divisor 413 and the new remainder 154,and apply the division lemma to get
413 = 154 x 2 + 105
We consider the new divisor 154 and the new remainder 105,and apply the division lemma to get
154 = 105 x 1 + 49
We consider the new divisor 105 and the new remainder 49,and apply the division lemma to get
105 = 49 x 2 + 7
We consider the new divisor 49 and the new remainder 7,and apply the division lemma to get
49 = 7 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 5467 and 6447 is 7
Notice that 7 = HCF(49,7) = HCF(105,49) = HCF(154,105) = HCF(413,154) = HCF(567,413) = HCF(980,567) = HCF(5467,980) = HCF(6447,5467) .
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Frequently Asked Questions on HCF of 5467, 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 5467, 6447?
Answer: HCF of 5467, 6447 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5467, 6447 using Euclid's Algorithm?
Answer: For arbitrary numbers 5467, 6447 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
