Highest Common Factor of 7457, 3361 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 7457, 3361 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7457, 3361 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 7457, 3361 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 7457, 3361 is 1.
HCF(7457, 3361) = 1
HCF of 7457, 3361 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7457, 3361 is 1.
Highest Common Factor of 7457,3361 is 1
Step 1: Since 7457 > 3361, we apply the division lemma to 7457 and 3361, to get
7457 = 3361 x 2 + 735
Step 2: Since the reminder 3361 ≠ 0, we apply division lemma to 735 and 3361, to get
3361 = 735 x 4 + 421
Step 3: We consider the new divisor 735 and the new remainder 421, and apply the division lemma to get
735 = 421 x 1 + 314
We consider the new divisor 421 and the new remainder 314,and apply the division lemma to get
421 = 314 x 1 + 107
We consider the new divisor 314 and the new remainder 107,and apply the division lemma to get
314 = 107 x 2 + 100
We consider the new divisor 107 and the new remainder 100,and apply the division lemma to get
107 = 100 x 1 + 7
We consider the new divisor 100 and the new remainder 7,and apply the division lemma to get
100 = 7 x 14 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 7457 and 3361 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(100,7) = HCF(107,100) = HCF(314,107) = HCF(421,314) = HCF(735,421) = HCF(3361,735) = HCF(7457,3361) .
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Frequently Asked Questions on HCF of 7457, 3361 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 7457, 3361?
Answer: HCF of 7457, 3361 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7457, 3361 using Euclid's Algorithm?
Answer: For arbitrary numbers 7457, 3361 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.