Highest Common Factor of 6951, 4513 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 6951, 4513 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6951, 4513 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 6951, 4513 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 6951, 4513 is 1.
HCF(6951, 4513) = 1
HCF of 6951, 4513 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6951, 4513 is 1.
Highest Common Factor of 6951,4513 is 1
Step 1: Since 6951 > 4513, we apply the division lemma to 6951 and 4513, to get
6951 = 4513 x 1 + 2438
Step 2: Since the reminder 4513 ≠ 0, we apply division lemma to 2438 and 4513, to get
4513 = 2438 x 1 + 2075
Step 3: We consider the new divisor 2438 and the new remainder 2075, and apply the division lemma to get
2438 = 2075 x 1 + 363
We consider the new divisor 2075 and the new remainder 363,and apply the division lemma to get
2075 = 363 x 5 + 260
We consider the new divisor 363 and the new remainder 260,and apply the division lemma to get
363 = 260 x 1 + 103
We consider the new divisor 260 and the new remainder 103,and apply the division lemma to get
260 = 103 x 2 + 54
We consider the new divisor 103 and the new remainder 54,and apply the division lemma to get
103 = 54 x 1 + 49
We consider the new divisor 54 and the new remainder 49,and apply the division lemma to get
54 = 49 x 1 + 5
We consider the new divisor 49 and the new remainder 5,and apply the division lemma to get
49 = 5 x 9 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6951 and 4513 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(49,5) = HCF(54,49) = HCF(103,54) = HCF(260,103) = HCF(363,260) = HCF(2075,363) = HCF(2438,2075) = HCF(4513,2438) = HCF(6951,4513) .
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Frequently Asked Questions on HCF of 6951, 4513 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 6951, 4513?
Answer: HCF of 6951, 4513 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6951, 4513 using Euclid's Algorithm?
Answer: For arbitrary numbers 6951, 4513 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.