Highest Common Factor of 1427, 7266 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 1427, 7266 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1427, 7266 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 1427, 7266 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 1427, 7266 is 1.
HCF(1427, 7266) = 1
HCF of 1427, 7266 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1427, 7266 is 1.
Highest Common Factor of 1427,7266 is 1
Step 1: Since 7266 > 1427, we apply the division lemma to 7266 and 1427, to get
7266 = 1427 x 5 + 131
Step 2: Since the reminder 1427 ≠ 0, we apply division lemma to 131 and 1427, to get
1427 = 131 x 10 + 117
Step 3: We consider the new divisor 131 and the new remainder 117, and apply the division lemma to get
131 = 117 x 1 + 14
We consider the new divisor 117 and the new remainder 14,and apply the division lemma to get
117 = 14 x 8 + 5
We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get
14 = 5 x 2 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1427 and 7266 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(117,14) = HCF(131,117) = HCF(1427,131) = HCF(7266,1427) .
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Frequently Asked Questions on HCF of 1427, 7266 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 1427, 7266?
Answer: HCF of 1427, 7266 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1427, 7266 using Euclid's Algorithm?
Answer: For arbitrary numbers 1427, 7266 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.