Highest Common Factor of 703, 8772 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 703, 8772 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 703, 8772 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 703, 8772 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 703, 8772 is 1.
HCF(703, 8772) = 1
HCF of 703, 8772 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 703, 8772 is 1.
Highest Common Factor of 703,8772 is 1
Step 1: Since 8772 > 703, we apply the division lemma to 8772 and 703, to get
8772 = 703 x 12 + 336
Step 2: Since the reminder 703 ≠ 0, we apply division lemma to 336 and 703, to get
703 = 336 x 2 + 31
Step 3: We consider the new divisor 336 and the new remainder 31, and apply the division lemma to get
336 = 31 x 10 + 26
We consider the new divisor 31 and the new remainder 26,and apply the division lemma to get
31 = 26 x 1 + 5
We consider the new divisor 26 and the new remainder 5,and apply the division lemma to get
26 = 5 x 5 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 703 and 8772 is 1
Notice that 1 = HCF(5,1) = HCF(26,5) = HCF(31,26) = HCF(336,31) = HCF(703,336) = HCF(8772,703) .
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Frequently Asked Questions on HCF of 703, 8772 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 703, 8772?
Answer: HCF of 703, 8772 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 703, 8772 using Euclid's Algorithm?
Answer: For arbitrary numbers 703, 8772 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.