Highest Common Factor of 676, 83640 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 676, 83640 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 676, 83640 is 4 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 676, 83640 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 676, 83640 is 4.
HCF(676, 83640) = 4
HCF of 676, 83640 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 676, 83640 is 4.
Highest Common Factor of 676,83640 is 4
Step 1: Since 83640 > 676, we apply the division lemma to 83640 and 676, to get
83640 = 676 x 123 + 492
Step 2: Since the reminder 676 ≠ 0, we apply division lemma to 492 and 676, to get
676 = 492 x 1 + 184
Step 3: We consider the new divisor 492 and the new remainder 184, and apply the division lemma to get
492 = 184 x 2 + 124
We consider the new divisor 184 and the new remainder 124,and apply the division lemma to get
184 = 124 x 1 + 60
We consider the new divisor 124 and the new remainder 60,and apply the division lemma to get
124 = 60 x 2 + 4
We consider the new divisor 60 and the new remainder 4,and apply the division lemma to get
60 = 4 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 676 and 83640 is 4
Notice that 4 = HCF(60,4) = HCF(124,60) = HCF(184,124) = HCF(492,184) = HCF(676,492) = HCF(83640,676) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 676, 83640 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 676, 83640?
Answer: HCF of 676, 83640 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 676, 83640 using Euclid's Algorithm?
Answer: For arbitrary numbers 676, 83640 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.