Highest Common Factor of 8377, 5601 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 8377, 5601 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8377, 5601 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 8377, 5601 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 8377, 5601 is 1.
HCF(8377, 5601) = 1
HCF of 8377, 5601 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8377, 5601 is 1.
Highest Common Factor of 8377,5601 is 1
Step 1: Since 8377 > 5601, we apply the division lemma to 8377 and 5601, to get
8377 = 5601 x 1 + 2776
Step 2: Since the reminder 5601 ≠ 0, we apply division lemma to 2776 and 5601, to get
5601 = 2776 x 2 + 49
Step 3: We consider the new divisor 2776 and the new remainder 49, and apply the division lemma to get
2776 = 49 x 56 + 32
We consider the new divisor 49 and the new remainder 32,and apply the division lemma to get
49 = 32 x 1 + 17
We consider the new divisor 32 and the new remainder 17,and apply the division lemma to get
32 = 17 x 1 + 15
We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get
17 = 15 x 1 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8377 and 5601 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(32,17) = HCF(49,32) = HCF(2776,49) = HCF(5601,2776) = HCF(8377,5601) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8377, 5601 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 8377, 5601?
Answer: HCF of 8377, 5601 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8377, 5601 using Euclid's Algorithm?
Answer: For arbitrary numbers 8377, 5601 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.