Highest Common Factor of 8804, 5041 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 8804, 5041 i.e. 71 the largest integer that leaves a remainder zero for all numbers.
HCF of 8804, 5041 is 71 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 8804, 5041 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 8804, 5041 is 71.
HCF(8804, 5041) = 71
HCF of 8804, 5041 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8804, 5041 is 71.
Highest Common Factor of 8804,5041 is 71
Step 1: Since 8804 > 5041, we apply the division lemma to 8804 and 5041, to get
8804 = 5041 x 1 + 3763
Step 2: Since the reminder 5041 ≠ 0, we apply division lemma to 3763 and 5041, to get
5041 = 3763 x 1 + 1278
Step 3: We consider the new divisor 3763 and the new remainder 1278, and apply the division lemma to get
3763 = 1278 x 2 + 1207
We consider the new divisor 1278 and the new remainder 1207,and apply the division lemma to get
1278 = 1207 x 1 + 71
We consider the new divisor 1207 and the new remainder 71,and apply the division lemma to get
1207 = 71 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 71, the HCF of 8804 and 5041 is 71
Notice that 71 = HCF(1207,71) = HCF(1278,1207) = HCF(3763,1278) = HCF(5041,3763) = HCF(8804,5041) .
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Frequently Asked Questions on HCF of 8804, 5041 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 8804, 5041?
Answer: HCF of 8804, 5041 is 71 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8804, 5041 using Euclid's Algorithm?
Answer: For arbitrary numbers 8804, 5041 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.