Highest Common Factor of 6426, 7521 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 6426, 7521 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 6426, 7521 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 6426, 7521 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 6426, 7521 is 3.
HCF(6426, 7521) = 3
HCF of 6426, 7521 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6426, 7521 is 3.
Highest Common Factor of 6426,7521 is 3
Step 1: Since 7521 > 6426, we apply the division lemma to 7521 and 6426, to get
7521 = 6426 x 1 + 1095
Step 2: Since the reminder 6426 ≠ 0, we apply division lemma to 1095 and 6426, to get
6426 = 1095 x 5 + 951
Step 3: We consider the new divisor 1095 and the new remainder 951, and apply the division lemma to get
1095 = 951 x 1 + 144
We consider the new divisor 951 and the new remainder 144,and apply the division lemma to get
951 = 144 x 6 + 87
We consider the new divisor 144 and the new remainder 87,and apply the division lemma to get
144 = 87 x 1 + 57
We consider the new divisor 87 and the new remainder 57,and apply the division lemma to get
87 = 57 x 1 + 30
We consider the new divisor 57 and the new remainder 30,and apply the division lemma to get
57 = 30 x 1 + 27
We consider the new divisor 30 and the new remainder 27,and apply the division lemma to get
30 = 27 x 1 + 3
We consider the new divisor 27 and the new remainder 3,and apply the division lemma to get
27 = 3 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6426 and 7521 is 3
Notice that 3 = HCF(27,3) = HCF(30,27) = HCF(57,30) = HCF(87,57) = HCF(144,87) = HCF(951,144) = HCF(1095,951) = HCF(6426,1095) = HCF(7521,6426) .
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Frequently Asked Questions on HCF of 6426, 7521 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 6426, 7521?
Answer: HCF of 6426, 7521 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6426, 7521 using Euclid's Algorithm?
Answer: For arbitrary numbers 6426, 7521 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.