Highest Common Factor of 6198, 8156 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 6198, 8156 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6198, 8156 is 2 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 6198, 8156 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 6198, 8156 is 2.
HCF(6198, 8156) = 2
HCF of 6198, 8156 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6198, 8156 is 2.
Highest Common Factor of 6198,8156 is 2
Step 1: Since 8156 > 6198, we apply the division lemma to 8156 and 6198, to get
8156 = 6198 x 1 + 1958
Step 2: Since the reminder 6198 ≠ 0, we apply division lemma to 1958 and 6198, to get
6198 = 1958 x 3 + 324
Step 3: We consider the new divisor 1958 and the new remainder 324, and apply the division lemma to get
1958 = 324 x 6 + 14
We consider the new divisor 324 and the new remainder 14,and apply the division lemma to get
324 = 14 x 23 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6198 and 8156 is 2
Notice that 2 = HCF(14,2) = HCF(324,14) = HCF(1958,324) = HCF(6198,1958) = HCF(8156,6198) .
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Frequently Asked Questions on HCF of 6198, 8156 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 6198, 8156?
Answer: HCF of 6198, 8156 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6198, 8156 using Euclid's Algorithm?
Answer: For arbitrary numbers 6198, 8156 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
