Highest Common Factor of 7446, 6055 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 7446, 6055 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7446, 6055 is 1 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 7446, 6055 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 7446, 6055 is 1.
HCF(7446, 6055) = 1
HCF of 7446, 6055 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7446, 6055 is 1.
Highest Common Factor of 7446,6055 is 1
Step 1: Since 7446 > 6055, we apply the division lemma to 7446 and 6055, to get
7446 = 6055 x 1 + 1391
Step 2: Since the reminder 6055 ≠ 0, we apply division lemma to 1391 and 6055, to get
6055 = 1391 x 4 + 491
Step 3: We consider the new divisor 1391 and the new remainder 491, and apply the division lemma to get
1391 = 491 x 2 + 409
We consider the new divisor 491 and the new remainder 409,and apply the division lemma to get
491 = 409 x 1 + 82
We consider the new divisor 409 and the new remainder 82,and apply the division lemma to get
409 = 82 x 4 + 81
We consider the new divisor 82 and the new remainder 81,and apply the division lemma to get
82 = 81 x 1 + 1
We consider the new divisor 81 and the new remainder 1,and apply the division lemma to get
81 = 1 x 81 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7446 and 6055 is 1
Notice that 1 = HCF(81,1) = HCF(82,81) = HCF(409,82) = HCF(491,409) = HCF(1391,491) = HCF(6055,1391) = HCF(7446,6055) .
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Frequently Asked Questions on HCF of 7446, 6055 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 7446, 6055?
Answer: HCF of 7446, 6055 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7446, 6055 using Euclid's Algorithm?
Answer: For arbitrary numbers 7446, 6055 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.