Highest Common Factor of 1373, 8996 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 1373, 8996 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1373, 8996 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 1373, 8996 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 1373, 8996 is 1.
HCF(1373, 8996) = 1
HCF of 1373, 8996 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1373, 8996 is 1.
Highest Common Factor of 1373,8996 is 1
Step 1: Since 8996 > 1373, we apply the division lemma to 8996 and 1373, to get
8996 = 1373 x 6 + 758
Step 2: Since the reminder 1373 ≠ 0, we apply division lemma to 758 and 1373, to get
1373 = 758 x 1 + 615
Step 3: We consider the new divisor 758 and the new remainder 615, and apply the division lemma to get
758 = 615 x 1 + 143
We consider the new divisor 615 and the new remainder 143,and apply the division lemma to get
615 = 143 x 4 + 43
We consider the new divisor 143 and the new remainder 43,and apply the division lemma to get
143 = 43 x 3 + 14
We consider the new divisor 43 and the new remainder 14,and apply the division lemma to get
43 = 14 x 3 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1373 and 8996 is 1
Notice that 1 = HCF(14,1) = HCF(43,14) = HCF(143,43) = HCF(615,143) = HCF(758,615) = HCF(1373,758) = HCF(8996,1373) .
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Frequently Asked Questions on HCF of 1373, 8996 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 1373, 8996?
Answer: HCF of 1373, 8996 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1373, 8996 using Euclid's Algorithm?
Answer: For arbitrary numbers 1373, 8996 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.