Highest Common Factor of 5372, 8326, 12776 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 5372, 8326, 12776 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5372, 8326, 12776 is 2 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 5372, 8326, 12776 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 5372, 8326, 12776 is 2.
HCF(5372, 8326, 12776) = 2
HCF of 5372, 8326, 12776 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5372, 8326, 12776 is 2.
Highest Common Factor of 5372,8326,12776 is 2
Step 1: Since 8326 > 5372, we apply the division lemma to 8326 and 5372, to get
8326 = 5372 x 1 + 2954
Step 2: Since the reminder 5372 ≠ 0, we apply division lemma to 2954 and 5372, to get
5372 = 2954 x 1 + 2418
Step 3: We consider the new divisor 2954 and the new remainder 2418, and apply the division lemma to get
2954 = 2418 x 1 + 536
We consider the new divisor 2418 and the new remainder 536,and apply the division lemma to get
2418 = 536 x 4 + 274
We consider the new divisor 536 and the new remainder 274,and apply the division lemma to get
536 = 274 x 1 + 262
We consider the new divisor 274 and the new remainder 262,and apply the division lemma to get
274 = 262 x 1 + 12
We consider the new divisor 262 and the new remainder 12,and apply the division lemma to get
262 = 12 x 21 + 10
We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get
12 = 10 x 1 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5372 and 8326 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(262,12) = HCF(274,262) = HCF(536,274) = HCF(2418,536) = HCF(2954,2418) = HCF(5372,2954) = HCF(8326,5372) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 12776 > 2, we apply the division lemma to 12776 and 2, to get
12776 = 2 x 6388 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 12776 is 2
Notice that 2 = HCF(12776,2) .
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Frequently Asked Questions on HCF of 5372, 8326, 12776 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 5372, 8326, 12776?
Answer: HCF of 5372, 8326, 12776 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5372, 8326, 12776 using Euclid's Algorithm?
Answer: For arbitrary numbers 5372, 8326, 12776 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
