Highest Common Factor of 725, 2349 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 725, 2349 i.e. 29 the largest integer that leaves a remainder zero for all numbers.
HCF of 725, 2349 is 29 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 725, 2349 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 725, 2349 is 29.
HCF(725, 2349) = 29
HCF of 725, 2349 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 725, 2349 is 29.
Highest Common Factor of 725,2349 is 29
Step 1: Since 2349 > 725, we apply the division lemma to 2349 and 725, to get
2349 = 725 x 3 + 174
Step 2: Since the reminder 725 ≠ 0, we apply division lemma to 174 and 725, to get
725 = 174 x 4 + 29
Step 3: We consider the new divisor 174 and the new remainder 29, and apply the division lemma to get
174 = 29 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 29, the HCF of 725 and 2349 is 29
Notice that 29 = HCF(174,29) = HCF(725,174) = HCF(2349,725) .
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Frequently Asked Questions on HCF of 725, 2349 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 725, 2349?
Answer: HCF of 725, 2349 is 29 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 725, 2349 using Euclid's Algorithm?
Answer: For arbitrary numbers 725, 2349 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.