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 4984, 6096, 70715 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4984, 6096, 70715 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 4984, 6096, 70715 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 4984, 6096, 70715 is 1.
HCF(4984, 6096, 70715) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4984, 6096, 70715 is 1.
Step 1: Since 6096 > 4984, we apply the division lemma to 6096 and 4984, to get
6096 = 4984 x 1 + 1112
Step 2: Since the reminder 4984 ≠ 0, we apply division lemma to 1112 and 4984, to get
4984 = 1112 x 4 + 536
Step 3: We consider the new divisor 1112 and the new remainder 536, and apply the division lemma to get
1112 = 536 x 2 + 40
We consider the new divisor 536 and the new remainder 40,and apply the division lemma to get
536 = 40 x 13 + 16
We consider the new divisor 40 and the new remainder 16,and apply the division lemma to get
40 = 16 x 2 + 8
We consider the new divisor 16 and the new remainder 8,and apply the division lemma to get
16 = 8 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 4984 and 6096 is 8
Notice that 8 = HCF(16,8) = HCF(40,16) = HCF(536,40) = HCF(1112,536) = HCF(4984,1112) = HCF(6096,4984) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 70715 > 8, we apply the division lemma to 70715 and 8, to get
70715 = 8 x 8839 + 3
Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 3 and 8, to get
8 = 3 x 2 + 2
Step 3: 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 8 and 70715 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(70715,8) .
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 4984, 6096, 70715?
Answer: HCF of 4984, 6096, 70715 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4984, 6096, 70715 using Euclid's Algorithm?
Answer: For arbitrary numbers 4984, 6096, 70715 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.