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 7929, 3443 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7929, 3443 is 1 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 7929, 3443 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 7929, 3443 is 1.
HCF(7929, 3443) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7929, 3443 is 1.
Step 1: Since 7929 > 3443, we apply the division lemma to 7929 and 3443, to get
7929 = 3443 x 2 + 1043
Step 2: Since the reminder 3443 ≠ 0, we apply division lemma to 1043 and 3443, to get
3443 = 1043 x 3 + 314
Step 3: We consider the new divisor 1043 and the new remainder 314, and apply the division lemma to get
1043 = 314 x 3 + 101
We consider the new divisor 314 and the new remainder 101,and apply the division lemma to get
314 = 101 x 3 + 11
We consider the new divisor 101 and the new remainder 11,and apply the division lemma to get
101 = 11 x 9 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7929 and 3443 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(101,11) = HCF(314,101) = HCF(1043,314) = HCF(3443,1043) = HCF(7929,3443) .
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 7929, 3443?
Answer: HCF of 7929, 3443 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7929, 3443 using Euclid's Algorithm?
Answer: For arbitrary numbers 7929, 3443 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.