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 722, 8477 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 722, 8477 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 722, 8477 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 722, 8477 is 1.
HCF(722, 8477) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 722, 8477 is 1.
Step 1: Since 8477 > 722, we apply the division lemma to 8477 and 722, to get
8477 = 722 x 11 + 535
Step 2: Since the reminder 722 ≠ 0, we apply division lemma to 535 and 722, to get
722 = 535 x 1 + 187
Step 3: We consider the new divisor 535 and the new remainder 187, and apply the division lemma to get
535 = 187 x 2 + 161
We consider the new divisor 187 and the new remainder 161,and apply the division lemma to get
187 = 161 x 1 + 26
We consider the new divisor 161 and the new remainder 26,and apply the division lemma to get
161 = 26 x 6 + 5
We consider the new divisor 26 and the new remainder 5,and apply the division lemma to get
26 = 5 x 5 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 722 and 8477 is 1
Notice that 1 = HCF(5,1) = HCF(26,5) = HCF(161,26) = HCF(187,161) = HCF(535,187) = HCF(722,535) = HCF(8477,722) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 722, 8477?
Answer: HCF of 722, 8477 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 722, 8477 using Euclid's Algorithm?
Answer: For arbitrary numbers 722, 8477 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.