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 3719, 7972 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3719, 7972 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 3719, 7972 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 3719, 7972 is 1.
HCF(3719, 7972) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3719, 7972 is 1.
Step 1: Since 7972 > 3719, we apply the division lemma to 7972 and 3719, to get
7972 = 3719 x 2 + 534
Step 2: Since the reminder 3719 ≠ 0, we apply division lemma to 534 and 3719, to get
3719 = 534 x 6 + 515
Step 3: We consider the new divisor 534 and the new remainder 515, and apply the division lemma to get
534 = 515 x 1 + 19
We consider the new divisor 515 and the new remainder 19,and apply the division lemma to get
515 = 19 x 27 + 2
We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get
19 = 2 x 9 + 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 3719 and 7972 is 1
Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(515,19) = HCF(534,515) = HCF(3719,534) = HCF(7972,3719) .
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 3719, 7972?
Answer: HCF of 3719, 7972 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3719, 7972 using Euclid's Algorithm?
Answer: For arbitrary numbers 3719, 7972 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.