Highest Common Factor of 700, 25003 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, 25003 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 700, 25003 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, 25003 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, 25003 is 1.
HCF(700, 25003) = 1
HCF of 700, 25003 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, 25003 is 1.
Highest Common Factor of 700,25003 is 1
Step 1: Since 25003 > 700, we apply the division lemma to 25003 and 700, to get
25003 = 700 x 35 + 503
Step 2: Since the reminder 700 ≠ 0, we apply division lemma to 503 and 700, to get
700 = 503 x 1 + 197
Step 3: We consider the new divisor 503 and the new remainder 197, and apply the division lemma to get
503 = 197 x 2 + 109
We consider the new divisor 197 and the new remainder 109,and apply the division lemma to get
197 = 109 x 1 + 88
We consider the new divisor 109 and the new remainder 88,and apply the division lemma to get
109 = 88 x 1 + 21
We consider the new divisor 88 and the new remainder 21,and apply the division lemma to get
88 = 21 x 4 + 4
We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get
21 = 4 x 5 + 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 700 and 25003 is 1
Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(88,21) = HCF(109,88) = HCF(197,109) = HCF(503,197) = HCF(700,503) = HCF(25003,700) .
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Frequently Asked Questions on HCF of 700, 25003 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, 25003?
Answer: HCF of 700, 25003 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 700, 25003 using Euclid's Algorithm?
Answer: For arbitrary numbers 700, 25003 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.