Highest Common Factor of 4993, 7267 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 4993, 7267 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4993, 7267 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 4993, 7267 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 4993, 7267 is 1.
HCF(4993, 7267) = 1
HCF of 4993, 7267 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4993, 7267 is 1.
Highest Common Factor of 4993,7267 is 1
Step 1: Since 7267 > 4993, we apply the division lemma to 7267 and 4993, to get
7267 = 4993 x 1 + 2274
Step 2: Since the reminder 4993 ≠ 0, we apply division lemma to 2274 and 4993, to get
4993 = 2274 x 2 + 445
Step 3: We consider the new divisor 2274 and the new remainder 445, and apply the division lemma to get
2274 = 445 x 5 + 49
We consider the new divisor 445 and the new remainder 49,and apply the division lemma to get
445 = 49 x 9 + 4
We consider the new divisor 49 and the new remainder 4,and apply the division lemma to get
49 = 4 x 12 + 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 4993 and 7267 is 1
Notice that 1 = HCF(4,1) = HCF(49,4) = HCF(445,49) = HCF(2274,445) = HCF(4993,2274) = HCF(7267,4993) .
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Frequently Asked Questions on HCF of 4993, 7267 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 4993, 7267?
Answer: HCF of 4993, 7267 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4993, 7267 using Euclid's Algorithm?
Answer: For arbitrary numbers 4993, 7267 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.