Highest Common Factor of 704, 997 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, 997 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 704, 997 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, 997 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, 997 is 1.
HCF(704, 997) = 1
HCF of 704, 997 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, 997 is 1.
Highest Common Factor of 704,997 is 1
Step 1: Since 997 > 704, we apply the division lemma to 997 and 704, to get
997 = 704 x 1 + 293
Step 2: Since the reminder 704 ≠ 0, we apply division lemma to 293 and 704, to get
704 = 293 x 2 + 118
Step 3: We consider the new divisor 293 and the new remainder 118, and apply the division lemma to get
293 = 118 x 2 + 57
We consider the new divisor 118 and the new remainder 57,and apply the division lemma to get
118 = 57 x 2 + 4
We consider the new divisor 57 and the new remainder 4,and apply the division lemma to get
57 = 4 x 14 + 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 704 and 997 is 1
Notice that 1 = HCF(4,1) = HCF(57,4) = HCF(118,57) = HCF(293,118) = HCF(704,293) = HCF(997,704) .
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Frequently Asked Questions on HCF of 704, 997 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, 997?
Answer: HCF of 704, 997 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 704, 997 using Euclid's Algorithm?
Answer: For arbitrary numbers 704, 997 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
