Highest Common Factor of 2499, 3104 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 2499, 3104 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2499, 3104 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 2499, 3104 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 2499, 3104 is 1.
HCF(2499, 3104) = 1
HCF of 2499, 3104 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2499, 3104 is 1.
Highest Common Factor of 2499,3104 is 1
Step 1: Since 3104 > 2499, we apply the division lemma to 3104 and 2499, to get
3104 = 2499 x 1 + 605
Step 2: Since the reminder 2499 ≠ 0, we apply division lemma to 605 and 2499, to get
2499 = 605 x 4 + 79
Step 3: We consider the new divisor 605 and the new remainder 79, and apply the division lemma to get
605 = 79 x 7 + 52
We consider the new divisor 79 and the new remainder 52,and apply the division lemma to get
79 = 52 x 1 + 27
We consider the new divisor 52 and the new remainder 27,and apply the division lemma to get
52 = 27 x 1 + 25
We consider the new divisor 27 and the new remainder 25,and apply the division lemma to get
27 = 25 x 1 + 2
We consider the new divisor 25 and the new remainder 2,and apply the division lemma to get
25 = 2 x 12 + 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 2499 and 3104 is 1
Notice that 1 = HCF(2,1) = HCF(25,2) = HCF(27,25) = HCF(52,27) = HCF(79,52) = HCF(605,79) = HCF(2499,605) = HCF(3104,2499) .
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Frequently Asked Questions on HCF of 2499, 3104 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 2499, 3104?
Answer: HCF of 2499, 3104 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2499, 3104 using Euclid's Algorithm?
Answer: For arbitrary numbers 2499, 3104 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
