Highest Common Factor of 8801, 7141 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 8801, 7141 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8801, 7141 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 8801, 7141 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 8801, 7141 is 1.
HCF(8801, 7141) = 1
HCF of 8801, 7141 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8801, 7141 is 1.
Highest Common Factor of 8801,7141 is 1
Step 1: Since 8801 > 7141, we apply the division lemma to 8801 and 7141, to get
8801 = 7141 x 1 + 1660
Step 2: Since the reminder 7141 ≠ 0, we apply division lemma to 1660 and 7141, to get
7141 = 1660 x 4 + 501
Step 3: We consider the new divisor 1660 and the new remainder 501, and apply the division lemma to get
1660 = 501 x 3 + 157
We consider the new divisor 501 and the new remainder 157,and apply the division lemma to get
501 = 157 x 3 + 30
We consider the new divisor 157 and the new remainder 30,and apply the division lemma to get
157 = 30 x 5 + 7
We consider the new divisor 30 and the new remainder 7,and apply the division lemma to get
30 = 7 x 4 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 8801 and 7141 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(30,7) = HCF(157,30) = HCF(501,157) = HCF(1660,501) = HCF(7141,1660) = HCF(8801,7141) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8801, 7141 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 8801, 7141?
Answer: HCF of 8801, 7141 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8801, 7141 using Euclid's Algorithm?
Answer: For arbitrary numbers 8801, 7141 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.