Highest Common Factor of 704, 439 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 704, 439 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 704, 439 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 704, 439 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 704, 439 is 1.
HCF(704, 439) = 1
HCF of 704, 439 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 704, 439 is 1.
Highest Common Factor of 704,439 is 1
Step 1: Since 704 > 439, we apply the division lemma to 704 and 439, to get
704 = 439 x 1 + 265
Step 2: Since the reminder 439 ≠ 0, we apply division lemma to 265 and 439, to get
439 = 265 x 1 + 174
Step 3: We consider the new divisor 265 and the new remainder 174, and apply the division lemma to get
265 = 174 x 1 + 91
We consider the new divisor 174 and the new remainder 91,and apply the division lemma to get
174 = 91 x 1 + 83
We consider the new divisor 91 and the new remainder 83,and apply the division lemma to get
91 = 83 x 1 + 8
We consider the new divisor 83 and the new remainder 8,and apply the division lemma to get
83 = 8 x 10 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 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 704 and 439 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(83,8) = HCF(91,83) = HCF(174,91) = HCF(265,174) = HCF(439,265) = HCF(704,439) .
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Frequently Asked Questions on HCF of 704, 439 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 704, 439?
Answer: HCF of 704, 439 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 704, 439 using Euclid's Algorithm?
Answer: For arbitrary numbers 704, 439 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.