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 7116, 3921 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7116, 3921 is 3 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 7116, 3921 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 7116, 3921 is 3.
HCF(7116, 3921) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7116, 3921 is 3.
Step 1: Since 7116 > 3921, we apply the division lemma to 7116 and 3921, to get
7116 = 3921 x 1 + 3195
Step 2: Since the reminder 3921 ≠ 0, we apply division lemma to 3195 and 3921, to get
3921 = 3195 x 1 + 726
Step 3: We consider the new divisor 3195 and the new remainder 726, and apply the division lemma to get
3195 = 726 x 4 + 291
We consider the new divisor 726 and the new remainder 291,and apply the division lemma to get
726 = 291 x 2 + 144
We consider the new divisor 291 and the new remainder 144,and apply the division lemma to get
291 = 144 x 2 + 3
We consider the new divisor 144 and the new remainder 3,and apply the division lemma to get
144 = 3 x 48 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 7116 and 3921 is 3
Notice that 3 = HCF(144,3) = HCF(291,144) = HCF(726,291) = HCF(3195,726) = HCF(3921,3195) = HCF(7116,3921) .
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 7116, 3921?
Answer: HCF of 7116, 3921 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7116, 3921 using Euclid's Algorithm?
Answer: For arbitrary numbers 7116, 3921 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.