Highest Common Factor of 7013, 9448 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 7013, 9448 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7013, 9448 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 7013, 9448 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 7013, 9448 is 1.
HCF(7013, 9448) = 1
HCF of 7013, 9448 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7013, 9448 is 1.
Highest Common Factor of 7013,9448 is 1
Step 1: Since 9448 > 7013, we apply the division lemma to 9448 and 7013, to get
9448 = 7013 x 1 + 2435
Step 2: Since the reminder 7013 ≠ 0, we apply division lemma to 2435 and 7013, to get
7013 = 2435 x 2 + 2143
Step 3: We consider the new divisor 2435 and the new remainder 2143, and apply the division lemma to get
2435 = 2143 x 1 + 292
We consider the new divisor 2143 and the new remainder 292,and apply the division lemma to get
2143 = 292 x 7 + 99
We consider the new divisor 292 and the new remainder 99,and apply the division lemma to get
292 = 99 x 2 + 94
We consider the new divisor 99 and the new remainder 94,and apply the division lemma to get
99 = 94 x 1 + 5
We consider the new divisor 94 and the new remainder 5,and apply the division lemma to get
94 = 5 x 18 + 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 7013 and 9448 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(94,5) = HCF(99,94) = HCF(292,99) = HCF(2143,292) = HCF(2435,2143) = HCF(7013,2435) = HCF(9448,7013) .
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Frequently Asked Questions on HCF of 7013, 9448 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 7013, 9448?
Answer: HCF of 7013, 9448 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7013, 9448 using Euclid's Algorithm?
Answer: For arbitrary numbers 7013, 9448 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.