Highest Common Factor of 979, 88722 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, 88722 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 979, 88722 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, 88722 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, 88722 is 1.
HCF(979, 88722) = 1
HCF of 979, 88722 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, 88722 is 1.
Highest Common Factor of 979,88722 is 1
Step 1: Since 88722 > 979, we apply the division lemma to 88722 and 979, to get
88722 = 979 x 90 + 612
Step 2: Since the reminder 979 ≠ 0, we apply division lemma to 612 and 979, to get
979 = 612 x 1 + 367
Step 3: We consider the new divisor 612 and the new remainder 367, and apply the division lemma to get
612 = 367 x 1 + 245
We consider the new divisor 367 and the new remainder 245,and apply the division lemma to get
367 = 245 x 1 + 122
We consider the new divisor 245 and the new remainder 122,and apply the division lemma to get
245 = 122 x 2 + 1
We consider the new divisor 122 and the new remainder 1,and apply the division lemma to get
122 = 1 x 122 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 979 and 88722 is 1
Notice that 1 = HCF(122,1) = HCF(245,122) = HCF(367,245) = HCF(612,367) = HCF(979,612) = HCF(88722,979) .
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, 88722 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, 88722?
Answer: HCF of 979, 88722 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 979, 88722 using Euclid's Algorithm?
Answer: For arbitrary numbers 979, 88722 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
