Highest Common Factor of 823, 725 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 823, 725 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 823, 725 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 823, 725 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 823, 725 is 1.
HCF(823, 725) = 1
HCF of 823, 725 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 823, 725 is 1.
Highest Common Factor of 823,725 is 1
Step 1: Since 823 > 725, we apply the division lemma to 823 and 725, to get
823 = 725 x 1 + 98
Step 2: Since the reminder 725 ≠ 0, we apply division lemma to 98 and 725, to get
725 = 98 x 7 + 39
Step 3: We consider the new divisor 98 and the new remainder 39, and apply the division lemma to get
98 = 39 x 2 + 20
We consider the new divisor 39 and the new remainder 20,and apply the division lemma to get
39 = 20 x 1 + 19
We consider the new divisor 20 and the new remainder 19,and apply the division lemma to get
20 = 19 x 1 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 823 and 725 is 1
Notice that 1 = HCF(19,1) = HCF(20,19) = HCF(39,20) = HCF(98,39) = HCF(725,98) = HCF(823,725) .
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Frequently Asked Questions on HCF of 823, 725 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 823, 725?
Answer: HCF of 823, 725 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 823, 725 using Euclid's Algorithm?
Answer: For arbitrary numbers 823, 725 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
