Highest Common Factor of 7266, 7984 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 7266, 7984 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7266, 7984 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 7266, 7984 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 7266, 7984 is 2.
HCF(7266, 7984) = 2
HCF of 7266, 7984 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7266, 7984 is 2.
Highest Common Factor of 7266,7984 is 2
Step 1: Since 7984 > 7266, we apply the division lemma to 7984 and 7266, to get
7984 = 7266 x 1 + 718
Step 2: Since the reminder 7266 ≠ 0, we apply division lemma to 718 and 7266, to get
7266 = 718 x 10 + 86
Step 3: We consider the new divisor 718 and the new remainder 86, and apply the division lemma to get
718 = 86 x 8 + 30
We consider the new divisor 86 and the new remainder 30,and apply the division lemma to get
86 = 30 x 2 + 26
We consider the new divisor 30 and the new remainder 26,and apply the division lemma to get
30 = 26 x 1 + 4
We consider the new divisor 26 and the new remainder 4,and apply the division lemma to get
26 = 4 x 6 + 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 7266 and 7984 is 2
Notice that 2 = HCF(4,2) = HCF(26,4) = HCF(30,26) = HCF(86,30) = HCF(718,86) = HCF(7266,718) = HCF(7984,7266) .
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Frequently Asked Questions on HCF of 7266, 7984 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 7266, 7984?
Answer: HCF of 7266, 7984 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7266, 7984 using Euclid's Algorithm?
Answer: For arbitrary numbers 7266, 7984 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.