Highest Common Factor of 979, 144 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 979, 144 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 979, 144 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 979, 144 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 979, 144 is 1.
HCF(979, 144) = 1
HCF of 979, 144 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 979, 144 is 1.
Highest Common Factor of 979,144 is 1
Step 1: Since 979 > 144, we apply the division lemma to 979 and 144, to get
979 = 144 x 6 + 115
Step 2: Since the reminder 144 ≠ 0, we apply division lemma to 115 and 144, to get
144 = 115 x 1 + 29
Step 3: We consider the new divisor 115 and the new remainder 29, and apply the division lemma to get
115 = 29 x 3 + 28
We consider the new divisor 29 and the new remainder 28,and apply the division lemma to get
29 = 28 x 1 + 1
We consider the new divisor 28 and the new remainder 1,and apply the division lemma to get
28 = 1 x 28 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 979 and 144 is 1
Notice that 1 = HCF(28,1) = HCF(29,28) = HCF(115,29) = HCF(144,115) = HCF(979,144) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 979, 144 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 979, 144?
Answer: HCF of 979, 144 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 979, 144 using Euclid's Algorithm?
Answer: For arbitrary numbers 979, 144 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.