Highest Common Factor of 8134, 9967 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 8134, 9967 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8134, 9967 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 8134, 9967 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 8134, 9967 is 1.
HCF(8134, 9967) = 1
HCF of 8134, 9967 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8134, 9967 is 1.
Highest Common Factor of 8134,9967 is 1
Step 1: Since 9967 > 8134, we apply the division lemma to 9967 and 8134, to get
9967 = 8134 x 1 + 1833
Step 2: Since the reminder 8134 ≠ 0, we apply division lemma to 1833 and 8134, to get
8134 = 1833 x 4 + 802
Step 3: We consider the new divisor 1833 and the new remainder 802, and apply the division lemma to get
1833 = 802 x 2 + 229
We consider the new divisor 802 and the new remainder 229,and apply the division lemma to get
802 = 229 x 3 + 115
We consider the new divisor 229 and the new remainder 115,and apply the division lemma to get
229 = 115 x 1 + 114
We consider the new divisor 115 and the new remainder 114,and apply the division lemma to get
115 = 114 x 1 + 1
We consider the new divisor 114 and the new remainder 1,and apply the division lemma to get
114 = 1 x 114 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8134 and 9967 is 1
Notice that 1 = HCF(114,1) = HCF(115,114) = HCF(229,115) = HCF(802,229) = HCF(1833,802) = HCF(8134,1833) = HCF(9967,8134) .
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Frequently Asked Questions on HCF of 8134, 9967 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 8134, 9967?
Answer: HCF of 8134, 9967 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8134, 9967 using Euclid's Algorithm?
Answer: For arbitrary numbers 8134, 9967 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.