Highest Common Factor of 700, 283 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 700, 283 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 700, 283 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 700, 283 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 700, 283 is 1.
HCF(700, 283) = 1
HCF of 700, 283 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 700, 283 is 1.
Highest Common Factor of 700,283 is 1
Step 1: Since 700 > 283, we apply the division lemma to 700 and 283, to get
700 = 283 x 2 + 134
Step 2: Since the reminder 283 ≠ 0, we apply division lemma to 134 and 283, to get
283 = 134 x 2 + 15
Step 3: We consider the new divisor 134 and the new remainder 15, and apply the division lemma to get
134 = 15 x 8 + 14
We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get
15 = 14 x 1 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 700 and 283 is 1
Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(134,15) = HCF(283,134) = HCF(700,283) .
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Frequently Asked Questions on HCF of 700, 283 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 700, 283?
Answer: HCF of 700, 283 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 700, 283 using Euclid's Algorithm?
Answer: For arbitrary numbers 700, 283 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.