Highest Common Factor of 7489, 707 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 7489, 707 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7489, 707 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 7489, 707 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 7489, 707 is 1.
HCF(7489, 707) = 1
HCF of 7489, 707 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7489, 707 is 1.
Highest Common Factor of 7489,707 is 1
Step 1: Since 7489 > 707, we apply the division lemma to 7489 and 707, to get
7489 = 707 x 10 + 419
Step 2: Since the reminder 707 ≠ 0, we apply division lemma to 419 and 707, to get
707 = 419 x 1 + 288
Step 3: We consider the new divisor 419 and the new remainder 288, and apply the division lemma to get
419 = 288 x 1 + 131
We consider the new divisor 288 and the new remainder 131,and apply the division lemma to get
288 = 131 x 2 + 26
We consider the new divisor 131 and the new remainder 26,and apply the division lemma to get
131 = 26 x 5 + 1
We consider the new divisor 26 and the new remainder 1,and apply the division lemma to get
26 = 1 x 26 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7489 and 707 is 1
Notice that 1 = HCF(26,1) = HCF(131,26) = HCF(288,131) = HCF(419,288) = HCF(707,419) = HCF(7489,707) .
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Frequently Asked Questions on HCF of 7489, 707 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 7489, 707?
Answer: HCF of 7489, 707 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7489, 707 using Euclid's Algorithm?
Answer: For arbitrary numbers 7489, 707 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
