Highest Common Factor of 7568, 9249 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 7568, 9249 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7568, 9249 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 7568, 9249 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 7568, 9249 is 1.
HCF(7568, 9249) = 1
HCF of 7568, 9249 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7568, 9249 is 1.
Highest Common Factor of 7568,9249 is 1
Step 1: Since 9249 > 7568, we apply the division lemma to 9249 and 7568, to get
9249 = 7568 x 1 + 1681
Step 2: Since the reminder 7568 ≠ 0, we apply division lemma to 1681 and 7568, to get
7568 = 1681 x 4 + 844
Step 3: We consider the new divisor 1681 and the new remainder 844, and apply the division lemma to get
1681 = 844 x 1 + 837
We consider the new divisor 844 and the new remainder 837,and apply the division lemma to get
844 = 837 x 1 + 7
We consider the new divisor 837 and the new remainder 7,and apply the division lemma to get
837 = 7 x 119 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7568 and 9249 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(837,7) = HCF(844,837) = HCF(1681,844) = HCF(7568,1681) = HCF(9249,7568) .
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Frequently Asked Questions on HCF of 7568, 9249 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 7568, 9249?
Answer: HCF of 7568, 9249 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7568, 9249 using Euclid's Algorithm?
Answer: For arbitrary numbers 7568, 9249 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.