Highest Common Factor of 2624, 3360, 48397 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 2624, 3360, 48397 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2624, 3360, 48397 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 2624, 3360, 48397 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 2624, 3360, 48397 is 1.
HCF(2624, 3360, 48397) = 1
HCF of 2624, 3360, 48397 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2624, 3360, 48397 is 1.
Highest Common Factor of 2624,3360,48397 is 1
Step 1: Since 3360 > 2624, we apply the division lemma to 3360 and 2624, to get
3360 = 2624 x 1 + 736
Step 2: Since the reminder 2624 ≠ 0, we apply division lemma to 736 and 2624, to get
2624 = 736 x 3 + 416
Step 3: We consider the new divisor 736 and the new remainder 416, and apply the division lemma to get
736 = 416 x 1 + 320
We consider the new divisor 416 and the new remainder 320,and apply the division lemma to get
416 = 320 x 1 + 96
We consider the new divisor 320 and the new remainder 96,and apply the division lemma to get
320 = 96 x 3 + 32
We consider the new divisor 96 and the new remainder 32,and apply the division lemma to get
96 = 32 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 32, the HCF of 2624 and 3360 is 32
Notice that 32 = HCF(96,32) = HCF(320,96) = HCF(416,320) = HCF(736,416) = HCF(2624,736) = HCF(3360,2624) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 48397 > 32, we apply the division lemma to 48397 and 32, to get
48397 = 32 x 1512 + 13
Step 2: Since the reminder 32 ≠ 0, we apply division lemma to 13 and 32, to get
32 = 13 x 2 + 6
Step 3: We consider the new divisor 13 and the new remainder 6, and apply the division lemma to get
13 = 6 x 2 + 1
We consider the new divisor 6 and the new remainder 1, and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 32 and 48397 is 1
Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(32,13) = HCF(48397,32) .
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Frequently Asked Questions on HCF of 2624, 3360, 48397 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 2624, 3360, 48397?
Answer: HCF of 2624, 3360, 48397 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2624, 3360, 48397 using Euclid's Algorithm?
Answer: For arbitrary numbers 2624, 3360, 48397 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.