Highest Common Factor of 8037, 6374 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 8037, 6374 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8037, 6374 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 8037, 6374 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 8037, 6374 is 1.
HCF(8037, 6374) = 1
HCF of 8037, 6374 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8037, 6374 is 1.
Highest Common Factor of 8037,6374 is 1
Step 1: Since 8037 > 6374, we apply the division lemma to 8037 and 6374, to get
8037 = 6374 x 1 + 1663
Step 2: Since the reminder 6374 ≠ 0, we apply division lemma to 1663 and 6374, to get
6374 = 1663 x 3 + 1385
Step 3: We consider the new divisor 1663 and the new remainder 1385, and apply the division lemma to get
1663 = 1385 x 1 + 278
We consider the new divisor 1385 and the new remainder 278,and apply the division lemma to get
1385 = 278 x 4 + 273
We consider the new divisor 278 and the new remainder 273,and apply the division lemma to get
278 = 273 x 1 + 5
We consider the new divisor 273 and the new remainder 5,and apply the division lemma to get
273 = 5 x 54 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8037 and 6374 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(273,5) = HCF(278,273) = HCF(1385,278) = HCF(1663,1385) = HCF(6374,1663) = HCF(8037,6374) .
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Frequently Asked Questions on HCF of 8037, 6374 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 8037, 6374?
Answer: HCF of 8037, 6374 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8037, 6374 using Euclid's Algorithm?
Answer: For arbitrary numbers 8037, 6374 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.