Highest Common Factor of 7426, 3325 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 7426, 3325 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7426, 3325 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 7426, 3325 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 7426, 3325 is 1.
HCF(7426, 3325) = 1
HCF of 7426, 3325 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7426, 3325 is 1.
Highest Common Factor of 7426,3325 is 1
Step 1: Since 7426 > 3325, we apply the division lemma to 7426 and 3325, to get
7426 = 3325 x 2 + 776
Step 2: Since the reminder 3325 ≠ 0, we apply division lemma to 776 and 3325, to get
3325 = 776 x 4 + 221
Step 3: We consider the new divisor 776 and the new remainder 221, and apply the division lemma to get
776 = 221 x 3 + 113
We consider the new divisor 221 and the new remainder 113,and apply the division lemma to get
221 = 113 x 1 + 108
We consider the new divisor 113 and the new remainder 108,and apply the division lemma to get
113 = 108 x 1 + 5
We consider the new divisor 108 and the new remainder 5,and apply the division lemma to get
108 = 5 x 21 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7426 and 3325 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(108,5) = HCF(113,108) = HCF(221,113) = HCF(776,221) = HCF(3325,776) = HCF(7426,3325) .
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Frequently Asked Questions on HCF of 7426, 3325 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 7426, 3325?
Answer: HCF of 7426, 3325 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7426, 3325 using Euclid's Algorithm?
Answer: For arbitrary numbers 7426, 3325 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
