Highest Common Factor of 7274, 9466 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 7274, 9466 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7274, 9466 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 7274, 9466 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 7274, 9466 is 2.
HCF(7274, 9466) = 2
HCF of 7274, 9466 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7274, 9466 is 2.
Highest Common Factor of 7274,9466 is 2
Step 1: Since 9466 > 7274, we apply the division lemma to 9466 and 7274, to get
9466 = 7274 x 1 + 2192
Step 2: Since the reminder 7274 ≠ 0, we apply division lemma to 2192 and 7274, to get
7274 = 2192 x 3 + 698
Step 3: We consider the new divisor 2192 and the new remainder 698, and apply the division lemma to get
2192 = 698 x 3 + 98
We consider the new divisor 698 and the new remainder 98,and apply the division lemma to get
698 = 98 x 7 + 12
We consider the new divisor 98 and the new remainder 12,and apply the division lemma to get
98 = 12 x 8 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7274 and 9466 is 2
Notice that 2 = HCF(12,2) = HCF(98,12) = HCF(698,98) = HCF(2192,698) = HCF(7274,2192) = HCF(9466,7274) .
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Frequently Asked Questions on HCF of 7274, 9466 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 7274, 9466?
Answer: HCF of 7274, 9466 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7274, 9466 using Euclid's Algorithm?
Answer: For arbitrary numbers 7274, 9466 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.