Highest Common Factor of 7426, 5988, 52316 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 7426, 5988, 52316 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7426, 5988, 52316 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 7426, 5988, 52316 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 7426, 5988, 52316 is 2.
HCF(7426, 5988, 52316) = 2
HCF of 7426, 5988, 52316 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7426, 5988, 52316 is 2.
Highest Common Factor of 7426,5988,52316 is 2
Step 1: Since 7426 > 5988, we apply the division lemma to 7426 and 5988, to get
7426 = 5988 x 1 + 1438
Step 2: Since the reminder 5988 ≠ 0, we apply division lemma to 1438 and 5988, to get
5988 = 1438 x 4 + 236
Step 3: We consider the new divisor 1438 and the new remainder 236, and apply the division lemma to get
1438 = 236 x 6 + 22
We consider the new divisor 236 and the new remainder 22,and apply the division lemma to get
236 = 22 x 10 + 16
We consider the new divisor 22 and the new remainder 16,and apply the division lemma to get
22 = 16 x 1 + 6
We consider the new divisor 16 and the new remainder 6,and apply the division lemma to get
16 = 6 x 2 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7426 and 5988 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(16,6) = HCF(22,16) = HCF(236,22) = HCF(1438,236) = HCF(5988,1438) = HCF(7426,5988) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 52316 > 2, we apply the division lemma to 52316 and 2, to get
52316 = 2 x 26158 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 52316 is 2
Notice that 2 = HCF(52316,2) .
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Frequently Asked Questions on HCF of 7426, 5988, 52316 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 7426, 5988, 52316?
Answer: HCF of 7426, 5988, 52316 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7426, 5988, 52316 using Euclid's Algorithm?
Answer: For arbitrary numbers 7426, 5988, 52316 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.