Highest Common Factor of 751, 2059 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 751, 2059 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 751, 2059 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 751, 2059 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 751, 2059 is 1.
HCF(751, 2059) = 1
HCF of 751, 2059 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 751, 2059 is 1.
Highest Common Factor of 751,2059 is 1
Step 1: Since 2059 > 751, we apply the division lemma to 2059 and 751, to get
2059 = 751 x 2 + 557
Step 2: Since the reminder 751 ≠ 0, we apply division lemma to 557 and 751, to get
751 = 557 x 1 + 194
Step 3: We consider the new divisor 557 and the new remainder 194, and apply the division lemma to get
557 = 194 x 2 + 169
We consider the new divisor 194 and the new remainder 169,and apply the division lemma to get
194 = 169 x 1 + 25
We consider the new divisor 169 and the new remainder 25,and apply the division lemma to get
169 = 25 x 6 + 19
We consider the new divisor 25 and the new remainder 19,and apply the division lemma to get
25 = 19 x 1 + 6
We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get
19 = 6 x 3 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 751 and 2059 is 1
Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(25,19) = HCF(169,25) = HCF(194,169) = HCF(557,194) = HCF(751,557) = HCF(2059,751) .
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Frequently Asked Questions on HCF of 751, 2059 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 751, 2059?
Answer: HCF of 751, 2059 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 751, 2059 using Euclid's Algorithm?
Answer: For arbitrary numbers 751, 2059 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.