Highest Common Factor of 7391, 3933 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 7391, 3933 i.e. 19 the largest integer that leaves a remainder zero for all numbers.
HCF of 7391, 3933 is 19 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 7391, 3933 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 7391, 3933 is 19.
HCF(7391, 3933) = 19
HCF of 7391, 3933 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7391, 3933 is 19.
Highest Common Factor of 7391,3933 is 19
Step 1: Since 7391 > 3933, we apply the division lemma to 7391 and 3933, to get
7391 = 3933 x 1 + 3458
Step 2: Since the reminder 3933 ≠ 0, we apply division lemma to 3458 and 3933, to get
3933 = 3458 x 1 + 475
Step 3: We consider the new divisor 3458 and the new remainder 475, and apply the division lemma to get
3458 = 475 x 7 + 133
We consider the new divisor 475 and the new remainder 133,and apply the division lemma to get
475 = 133 x 3 + 76
We consider the new divisor 133 and the new remainder 76,and apply the division lemma to get
133 = 76 x 1 + 57
We consider the new divisor 76 and the new remainder 57,and apply the division lemma to get
76 = 57 x 1 + 19
We consider the new divisor 57 and the new remainder 19,and apply the division lemma to get
57 = 19 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 19, the HCF of 7391 and 3933 is 19
Notice that 19 = HCF(57,19) = HCF(76,57) = HCF(133,76) = HCF(475,133) = HCF(3458,475) = HCF(3933,3458) = HCF(7391,3933) .
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Frequently Asked Questions on HCF of 7391, 3933 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 7391, 3933?
Answer: HCF of 7391, 3933 is 19 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7391, 3933 using Euclid's Algorithm?
Answer: For arbitrary numbers 7391, 3933 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.