Highest Common Factor of 5761, 3213 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 5761, 3213 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 5761, 3213 is 7 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 5761, 3213 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 5761, 3213 is 7.
HCF(5761, 3213) = 7
HCF of 5761, 3213 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5761, 3213 is 7.
Highest Common Factor of 5761,3213 is 7
Step 1: Since 5761 > 3213, we apply the division lemma to 5761 and 3213, to get
5761 = 3213 x 1 + 2548
Step 2: Since the reminder 3213 ≠ 0, we apply division lemma to 2548 and 3213, to get
3213 = 2548 x 1 + 665
Step 3: We consider the new divisor 2548 and the new remainder 665, and apply the division lemma to get
2548 = 665 x 3 + 553
We consider the new divisor 665 and the new remainder 553,and apply the division lemma to get
665 = 553 x 1 + 112
We consider the new divisor 553 and the new remainder 112,and apply the division lemma to get
553 = 112 x 4 + 105
We consider the new divisor 112 and the new remainder 105,and apply the division lemma to get
112 = 105 x 1 + 7
We consider the new divisor 105 and the new remainder 7,and apply the division lemma to get
105 = 7 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 5761 and 3213 is 7
Notice that 7 = HCF(105,7) = HCF(112,105) = HCF(553,112) = HCF(665,553) = HCF(2548,665) = HCF(3213,2548) = HCF(5761,3213) .
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Frequently Asked Questions on HCF of 5761, 3213 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 5761, 3213?
Answer: HCF of 5761, 3213 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5761, 3213 using Euclid's Algorithm?
Answer: For arbitrary numbers 5761, 3213 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
