Highest Common Factor of 8947, 7013 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 8947, 7013 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8947, 7013 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 8947, 7013 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 8947, 7013 is 1.
HCF(8947, 7013) = 1
HCF of 8947, 7013 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8947, 7013 is 1.
Highest Common Factor of 8947,7013 is 1
Step 1: Since 8947 > 7013, we apply the division lemma to 8947 and 7013, to get
8947 = 7013 x 1 + 1934
Step 2: Since the reminder 7013 ≠ 0, we apply division lemma to 1934 and 7013, to get
7013 = 1934 x 3 + 1211
Step 3: We consider the new divisor 1934 and the new remainder 1211, and apply the division lemma to get
1934 = 1211 x 1 + 723
We consider the new divisor 1211 and the new remainder 723,and apply the division lemma to get
1211 = 723 x 1 + 488
We consider the new divisor 723 and the new remainder 488,and apply the division lemma to get
723 = 488 x 1 + 235
We consider the new divisor 488 and the new remainder 235,and apply the division lemma to get
488 = 235 x 2 + 18
We consider the new divisor 235 and the new remainder 18,and apply the division lemma to get
235 = 18 x 13 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8947 and 7013 is 1
Notice that 1 = HCF(18,1) = HCF(235,18) = HCF(488,235) = HCF(723,488) = HCF(1211,723) = HCF(1934,1211) = HCF(7013,1934) = HCF(8947,7013) .
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Frequently Asked Questions on HCF of 8947, 7013 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 8947, 7013?
Answer: HCF of 8947, 7013 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8947, 7013 using Euclid's Algorithm?
Answer: For arbitrary numbers 8947, 7013 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.