Highest Common Factor of 2799, 3445, 12307 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 2799, 3445, 12307 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2799, 3445, 12307 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 2799, 3445, 12307 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 2799, 3445, 12307 is 1.
HCF(2799, 3445, 12307) = 1
HCF of 2799, 3445, 12307 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2799, 3445, 12307 is 1.
Highest Common Factor of 2799,3445,12307 is 1
Step 1: Since 3445 > 2799, we apply the division lemma to 3445 and 2799, to get
3445 = 2799 x 1 + 646
Step 2: Since the reminder 2799 ≠ 0, we apply division lemma to 646 and 2799, to get
2799 = 646 x 4 + 215
Step 3: We consider the new divisor 646 and the new remainder 215, and apply the division lemma to get
646 = 215 x 3 + 1
We consider the new divisor 215 and the new remainder 1, and apply the division lemma to get
215 = 1 x 215 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2799 and 3445 is 1
Notice that 1 = HCF(215,1) = HCF(646,215) = HCF(2799,646) = HCF(3445,2799) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 12307 > 1, we apply the division lemma to 12307 and 1, to get
12307 = 1 x 12307 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 12307 is 1
Notice that 1 = HCF(12307,1) .
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Frequently Asked Questions on HCF of 2799, 3445, 12307 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 2799, 3445, 12307?
Answer: HCF of 2799, 3445, 12307 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2799, 3445, 12307 using Euclid's Algorithm?
Answer: For arbitrary numbers 2799, 3445, 12307 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.