Highest Common Factor of 125, 8076 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 125, 8076 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 125, 8076 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 125, 8076 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 125, 8076 is 1.
HCF(125, 8076) = 1
HCF of 125, 8076 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 125, 8076 is 1.
Highest Common Factor of 125,8076 is 1
Step 1: Since 8076 > 125, we apply the division lemma to 8076 and 125, to get
8076 = 125 x 64 + 76
Step 2: Since the reminder 125 ≠ 0, we apply division lemma to 76 and 125, to get
125 = 76 x 1 + 49
Step 3: We consider the new divisor 76 and the new remainder 49, and apply the division lemma to get
76 = 49 x 1 + 27
We consider the new divisor 49 and the new remainder 27,and apply the division lemma to get
49 = 27 x 1 + 22
We consider the new divisor 27 and the new remainder 22,and apply the division lemma to get
27 = 22 x 1 + 5
We consider the new divisor 22 and the new remainder 5,and apply the division lemma to get
22 = 5 x 4 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 125 and 8076 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(22,5) = HCF(27,22) = HCF(49,27) = HCF(76,49) = HCF(125,76) = HCF(8076,125) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 125, 8076 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 125, 8076?
Answer: HCF of 125, 8076 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 125, 8076 using Euclid's Algorithm?
Answer: For arbitrary numbers 125, 8076 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
