Highest Common Factor of 926, 3208 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 926, 3208 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 926, 3208 is 2 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 926, 3208 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 926, 3208 is 2.
HCF(926, 3208) = 2
HCF of 926, 3208 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 926, 3208 is 2.
Highest Common Factor of 926,3208 is 2
Step 1: Since 3208 > 926, we apply the division lemma to 3208 and 926, to get
3208 = 926 x 3 + 430
Step 2: Since the reminder 926 ≠ 0, we apply division lemma to 430 and 926, to get
926 = 430 x 2 + 66
Step 3: We consider the new divisor 430 and the new remainder 66, and apply the division lemma to get
430 = 66 x 6 + 34
We consider the new divisor 66 and the new remainder 34,and apply the division lemma to get
66 = 34 x 1 + 32
We consider the new divisor 34 and the new remainder 32,and apply the division lemma to get
34 = 32 x 1 + 2
We consider the new divisor 32 and the new remainder 2,and apply the division lemma to get
32 = 2 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 926 and 3208 is 2
Notice that 2 = HCF(32,2) = HCF(34,32) = HCF(66,34) = HCF(430,66) = HCF(926,430) = HCF(3208,926) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 926, 3208 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 926, 3208?
Answer: HCF of 926, 3208 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 926, 3208 using Euclid's Algorithm?
Answer: For arbitrary numbers 926, 3208 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.