Highest Common Factor of 625, 2749 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 625, 2749 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 625, 2749 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 625, 2749 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 625, 2749 is 1.
HCF(625, 2749) = 1
HCF of 625, 2749 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 625, 2749 is 1.
Highest Common Factor of 625,2749 is 1
Step 1: Since 2749 > 625, we apply the division lemma to 2749 and 625, to get
2749 = 625 x 4 + 249
Step 2: Since the reminder 625 ≠ 0, we apply division lemma to 249 and 625, to get
625 = 249 x 2 + 127
Step 3: We consider the new divisor 249 and the new remainder 127, and apply the division lemma to get
249 = 127 x 1 + 122
We consider the new divisor 127 and the new remainder 122,and apply the division lemma to get
127 = 122 x 1 + 5
We consider the new divisor 122 and the new remainder 5,and apply the division lemma to get
122 = 5 x 24 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 625 and 2749 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(122,5) = HCF(127,122) = HCF(249,127) = HCF(625,249) = HCF(2749,625) .
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Frequently Asked Questions on HCF of 625, 2749 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 625, 2749?
Answer: HCF of 625, 2749 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 625, 2749 using Euclid's Algorithm?
Answer: For arbitrary numbers 625, 2749 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.