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 334, 7226 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 334, 7226 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 334, 7226 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 334, 7226 is 2.
HCF(334, 7226) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 334, 7226 is 2.
Step 1: Since 7226 > 334, we apply the division lemma to 7226 and 334, to get
7226 = 334 x 21 + 212
Step 2: Since the reminder 334 ≠ 0, we apply division lemma to 212 and 334, to get
334 = 212 x 1 + 122
Step 3: We consider the new divisor 212 and the new remainder 122, and apply the division lemma to get
212 = 122 x 1 + 90
We consider the new divisor 122 and the new remainder 90,and apply the division lemma to get
122 = 90 x 1 + 32
We consider the new divisor 90 and the new remainder 32,and apply the division lemma to get
90 = 32 x 2 + 26
We consider the new divisor 32 and the new remainder 26,and apply the division lemma to get
32 = 26 x 1 + 6
We consider the new divisor 26 and the new remainder 6,and apply the division lemma to get
26 = 6 x 4 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 334 and 7226 is 2
Notice that 2 = HCF(6,2) = HCF(26,6) = HCF(32,26) = HCF(90,32) = HCF(122,90) = HCF(212,122) = HCF(334,212) = HCF(7226,334) .
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 334, 7226?
Answer: HCF of 334, 7226 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 334, 7226 using Euclid's Algorithm?
Answer: For arbitrary numbers 334, 7226 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.