Highest Common Factor of 1630, 2509 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 1630, 2509 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1630, 2509 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 1630, 2509 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 1630, 2509 is 1.
HCF(1630, 2509) = 1
HCF of 1630, 2509 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1630, 2509 is 1.
Highest Common Factor of 1630,2509 is 1
Step 1: Since 2509 > 1630, we apply the division lemma to 2509 and 1630, to get
2509 = 1630 x 1 + 879
Step 2: Since the reminder 1630 ≠ 0, we apply division lemma to 879 and 1630, to get
1630 = 879 x 1 + 751
Step 3: We consider the new divisor 879 and the new remainder 751, and apply the division lemma to get
879 = 751 x 1 + 128
We consider the new divisor 751 and the new remainder 128,and apply the division lemma to get
751 = 128 x 5 + 111
We consider the new divisor 128 and the new remainder 111,and apply the division lemma to get
128 = 111 x 1 + 17
We consider the new divisor 111 and the new remainder 17,and apply the division lemma to get
111 = 17 x 6 + 9
We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get
17 = 9 x 1 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1630 and 2509 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(111,17) = HCF(128,111) = HCF(751,128) = HCF(879,751) = HCF(1630,879) = HCF(2509,1630) .
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Frequently Asked Questions on HCF of 1630, 2509 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 1630, 2509?
Answer: HCF of 1630, 2509 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1630, 2509 using Euclid's Algorithm?
Answer: For arbitrary numbers 1630, 2509 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.