Highest Common Factor of 4151, 2576 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 4151, 2576 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 4151, 2576 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 4151, 2576 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 4151, 2576 is 7.
HCF(4151, 2576) = 7
HCF of 4151, 2576 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4151, 2576 is 7.
Highest Common Factor of 4151,2576 is 7
Step 1: Since 4151 > 2576, we apply the division lemma to 4151 and 2576, to get
4151 = 2576 x 1 + 1575
Step 2: Since the reminder 2576 ≠ 0, we apply division lemma to 1575 and 2576, to get
2576 = 1575 x 1 + 1001
Step 3: We consider the new divisor 1575 and the new remainder 1001, and apply the division lemma to get
1575 = 1001 x 1 + 574
We consider the new divisor 1001 and the new remainder 574,and apply the division lemma to get
1001 = 574 x 1 + 427
We consider the new divisor 574 and the new remainder 427,and apply the division lemma to get
574 = 427 x 1 + 147
We consider the new divisor 427 and the new remainder 147,and apply the division lemma to get
427 = 147 x 2 + 133
We consider the new divisor 147 and the new remainder 133,and apply the division lemma to get
147 = 133 x 1 + 14
We consider the new divisor 133 and the new remainder 14,and apply the division lemma to get
133 = 14 x 9 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 4151 and 2576 is 7
Notice that 7 = HCF(14,7) = HCF(133,14) = HCF(147,133) = HCF(427,147) = HCF(574,427) = HCF(1001,574) = HCF(1575,1001) = HCF(2576,1575) = HCF(4151,2576) .
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Frequently Asked Questions on HCF of 4151, 2576 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 4151, 2576?
Answer: HCF of 4151, 2576 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4151, 2576 using Euclid's Algorithm?
Answer: For arbitrary numbers 4151, 2576 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.