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 791, 3719, 5025 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 791, 3719, 5025 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 791, 3719, 5025 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 791, 3719, 5025 is 1.
HCF(791, 3719, 5025) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 791, 3719, 5025 is 1.
Step 1: Since 3719 > 791, we apply the division lemma to 3719 and 791, to get
3719 = 791 x 4 + 555
Step 2: Since the reminder 791 ≠ 0, we apply division lemma to 555 and 791, to get
791 = 555 x 1 + 236
Step 3: We consider the new divisor 555 and the new remainder 236, and apply the division lemma to get
555 = 236 x 2 + 83
We consider the new divisor 236 and the new remainder 83,and apply the division lemma to get
236 = 83 x 2 + 70
We consider the new divisor 83 and the new remainder 70,and apply the division lemma to get
83 = 70 x 1 + 13
We consider the new divisor 70 and the new remainder 13,and apply the division lemma to get
70 = 13 x 5 + 5
We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get
13 = 5 x 2 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 791 and 3719 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(70,13) = HCF(83,70) = HCF(236,83) = HCF(555,236) = HCF(791,555) = HCF(3719,791) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5025 > 1, we apply the division lemma to 5025 and 1, to get
5025 = 1 x 5025 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5025 is 1
Notice that 1 = HCF(5025,1) .
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 791, 3719, 5025?
Answer: HCF of 791, 3719, 5025 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 791, 3719, 5025 using Euclid's Algorithm?
Answer: For arbitrary numbers 791, 3719, 5025 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.