Highest Common Factor of 2445, 7799 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 2445, 7799 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2445, 7799 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 2445, 7799 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 2445, 7799 is 1.
HCF(2445, 7799) = 1
HCF of 2445, 7799 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2445, 7799 is 1.
Highest Common Factor of 2445,7799 is 1
Step 1: Since 7799 > 2445, we apply the division lemma to 7799 and 2445, to get
7799 = 2445 x 3 + 464
Step 2: Since the reminder 2445 ≠ 0, we apply division lemma to 464 and 2445, to get
2445 = 464 x 5 + 125
Step 3: We consider the new divisor 464 and the new remainder 125, and apply the division lemma to get
464 = 125 x 3 + 89
We consider the new divisor 125 and the new remainder 89,and apply the division lemma to get
125 = 89 x 1 + 36
We consider the new divisor 89 and the new remainder 36,and apply the division lemma to get
89 = 36 x 2 + 17
We consider the new divisor 36 and the new remainder 17,and apply the division lemma to get
36 = 17 x 2 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 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 2445 and 7799 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(36,17) = HCF(89,36) = HCF(125,89) = HCF(464,125) = HCF(2445,464) = HCF(7799,2445) .
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Frequently Asked Questions on HCF of 2445, 7799 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 2445, 7799?
Answer: HCF of 2445, 7799 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2445, 7799 using Euclid's Algorithm?
Answer: For arbitrary numbers 2445, 7799 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.