Highest Common Factor of 3976, 7326 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 3976, 7326 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3976, 7326 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 3976, 7326 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 3976, 7326 is 2.
HCF(3976, 7326) = 2
HCF of 3976, 7326 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3976, 7326 is 2.
Highest Common Factor of 3976,7326 is 2
Step 1: Since 7326 > 3976, we apply the division lemma to 7326 and 3976, to get
7326 = 3976 x 1 + 3350
Step 2: Since the reminder 3976 ≠ 0, we apply division lemma to 3350 and 3976, to get
3976 = 3350 x 1 + 626
Step 3: We consider the new divisor 3350 and the new remainder 626, and apply the division lemma to get
3350 = 626 x 5 + 220
We consider the new divisor 626 and the new remainder 220,and apply the division lemma to get
626 = 220 x 2 + 186
We consider the new divisor 220 and the new remainder 186,and apply the division lemma to get
220 = 186 x 1 + 34
We consider the new divisor 186 and the new remainder 34,and apply the division lemma to get
186 = 34 x 5 + 16
We consider the new divisor 34 and the new remainder 16,and apply the division lemma to get
34 = 16 x 2 + 2
We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3976 and 7326 is 2
Notice that 2 = HCF(16,2) = HCF(34,16) = HCF(186,34) = HCF(220,186) = HCF(626,220) = HCF(3350,626) = HCF(3976,3350) = HCF(7326,3976) .
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Frequently Asked Questions on HCF of 3976, 7326 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 3976, 7326?
Answer: HCF of 3976, 7326 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3976, 7326 using Euclid's Algorithm?
Answer: For arbitrary numbers 3976, 7326 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.