Highest Common Factor of 7567, 9058 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 7567, 9058 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 7567, 9058 is 7 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 7567, 9058 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 7567, 9058 is 7.
HCF(7567, 9058) = 7
HCF of 7567, 9058 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7567, 9058 is 7.
Highest Common Factor of 7567,9058 is 7
Step 1: Since 9058 > 7567, we apply the division lemma to 9058 and 7567, to get
9058 = 7567 x 1 + 1491
Step 2: Since the reminder 7567 ≠ 0, we apply division lemma to 1491 and 7567, to get
7567 = 1491 x 5 + 112
Step 3: We consider the new divisor 1491 and the new remainder 112, and apply the division lemma to get
1491 = 112 x 13 + 35
We consider the new divisor 112 and the new remainder 35,and apply the division lemma to get
112 = 35 x 3 + 7
We consider the new divisor 35 and the new remainder 7,and apply the division lemma to get
35 = 7 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 7567 and 9058 is 7
Notice that 7 = HCF(35,7) = HCF(112,35) = HCF(1491,112) = HCF(7567,1491) = HCF(9058,7567) .
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Frequently Asked Questions on HCF of 7567, 9058 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 7567, 9058?
Answer: HCF of 7567, 9058 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7567, 9058 using Euclid's Algorithm?
Answer: For arbitrary numbers 7567, 9058 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.