Highest Common Factor of 6074, 9156 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 6074, 9156 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6074, 9156 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 6074, 9156 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 6074, 9156 is 2.
HCF(6074, 9156) = 2
HCF of 6074, 9156 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6074, 9156 is 2.
Highest Common Factor of 6074,9156 is 2
Step 1: Since 9156 > 6074, we apply the division lemma to 9156 and 6074, to get
9156 = 6074 x 1 + 3082
Step 2: Since the reminder 6074 ≠ 0, we apply division lemma to 3082 and 6074, to get
6074 = 3082 x 1 + 2992
Step 3: We consider the new divisor 3082 and the new remainder 2992, and apply the division lemma to get
3082 = 2992 x 1 + 90
We consider the new divisor 2992 and the new remainder 90,and apply the division lemma to get
2992 = 90 x 33 + 22
We consider the new divisor 90 and the new remainder 22,and apply the division lemma to get
90 = 22 x 4 + 2
We consider the new divisor 22 and the new remainder 2,and apply the division lemma to get
22 = 2 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6074 and 9156 is 2
Notice that 2 = HCF(22,2) = HCF(90,22) = HCF(2992,90) = HCF(3082,2992) = HCF(6074,3082) = HCF(9156,6074) .
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Frequently Asked Questions on HCF of 6074, 9156 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 6074, 9156?
Answer: HCF of 6074, 9156 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6074, 9156 using Euclid's Algorithm?
Answer: For arbitrary numbers 6074, 9156 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.