Highest Common Factor of 8860, 7249 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 8860, 7249 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8860, 7249 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 8860, 7249 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 8860, 7249 is 1.
HCF(8860, 7249) = 1
HCF of 8860, 7249 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8860, 7249 is 1.
Highest Common Factor of 8860,7249 is 1
Step 1: Since 8860 > 7249, we apply the division lemma to 8860 and 7249, to get
8860 = 7249 x 1 + 1611
Step 2: Since the reminder 7249 ≠ 0, we apply division lemma to 1611 and 7249, to get
7249 = 1611 x 4 + 805
Step 3: We consider the new divisor 1611 and the new remainder 805, and apply the division lemma to get
1611 = 805 x 2 + 1
We consider the new divisor 805 and the new remainder 1, and apply the division lemma to get
805 = 1 x 805 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8860 and 7249 is 1
Notice that 1 = HCF(805,1) = HCF(1611,805) = HCF(7249,1611) = HCF(8860,7249) .
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Frequently Asked Questions on HCF of 8860, 7249 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 8860, 7249?
Answer: HCF of 8860, 7249 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8860, 7249 using Euclid's Algorithm?
Answer: For arbitrary numbers 8860, 7249 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.