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 4382, 5719 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 4382, 5719 is 7 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 4382, 5719 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 4382, 5719 is 7.
HCF(4382, 5719) = 7
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4382, 5719 is 7.
Step 1: Since 5719 > 4382, we apply the division lemma to 5719 and 4382, to get
5719 = 4382 x 1 + 1337
Step 2: Since the reminder 4382 ≠ 0, we apply division lemma to 1337 and 4382, to get
4382 = 1337 x 3 + 371
Step 3: We consider the new divisor 1337 and the new remainder 371, and apply the division lemma to get
1337 = 371 x 3 + 224
We consider the new divisor 371 and the new remainder 224,and apply the division lemma to get
371 = 224 x 1 + 147
We consider the new divisor 224 and the new remainder 147,and apply the division lemma to get
224 = 147 x 1 + 77
We consider the new divisor 147 and the new remainder 77,and apply the division lemma to get
147 = 77 x 1 + 70
We consider the new divisor 77 and the new remainder 70,and apply the division lemma to get
77 = 70 x 1 + 7
We consider the new divisor 70 and the new remainder 7,and apply the division lemma to get
70 = 7 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 4382 and 5719 is 7
Notice that 7 = HCF(70,7) = HCF(77,70) = HCF(147,77) = HCF(224,147) = HCF(371,224) = HCF(1337,371) = HCF(4382,1337) = HCF(5719,4382) .
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 4382, 5719?
Answer: HCF of 4382, 5719 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4382, 5719 using Euclid's Algorithm?
Answer: For arbitrary numbers 4382, 5719 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.