Highest Common Factor of 751, 34289 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, 34289 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 751, 34289 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, 34289 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, 34289 is 1.
HCF(751, 34289) = 1
HCF of 751, 34289 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, 34289 is 1.
Highest Common Factor of 751,34289 is 1
Step 1: Since 34289 > 751, we apply the division lemma to 34289 and 751, to get
34289 = 751 x 45 + 494
Step 2: Since the reminder 751 ≠ 0, we apply division lemma to 494 and 751, to get
751 = 494 x 1 + 257
Step 3: We consider the new divisor 494 and the new remainder 257, and apply the division lemma to get
494 = 257 x 1 + 237
We consider the new divisor 257 and the new remainder 237,and apply the division lemma to get
257 = 237 x 1 + 20
We consider the new divisor 237 and the new remainder 20,and apply the division lemma to get
237 = 20 x 11 + 17
We consider the new divisor 20 and the new remainder 17,and apply the division lemma to get
20 = 17 x 1 + 3
We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get
17 = 3 x 5 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 751 and 34289 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(20,17) = HCF(237,20) = HCF(257,237) = HCF(494,257) = HCF(751,494) = HCF(34289,751) .
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Frequently Asked Questions on HCF of 751, 34289 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, 34289?
Answer: HCF of 751, 34289 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 751, 34289 using Euclid's Algorithm?
Answer: For arbitrary numbers 751, 34289 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.