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 5249, 2758, 74970 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5249, 2758, 74970 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 5249, 2758, 74970 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 5249, 2758, 74970 is 1.
HCF(5249, 2758, 74970) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5249, 2758, 74970 is 1.
Step 1: Since 5249 > 2758, we apply the division lemma to 5249 and 2758, to get
5249 = 2758 x 1 + 2491
Step 2: Since the reminder 2758 ≠ 0, we apply division lemma to 2491 and 2758, to get
2758 = 2491 x 1 + 267
Step 3: We consider the new divisor 2491 and the new remainder 267, and apply the division lemma to get
2491 = 267 x 9 + 88
We consider the new divisor 267 and the new remainder 88,and apply the division lemma to get
267 = 88 x 3 + 3
We consider the new divisor 88 and the new remainder 3,and apply the division lemma to get
88 = 3 x 29 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5249 and 2758 is 1
Notice that 1 = HCF(3,1) = HCF(88,3) = HCF(267,88) = HCF(2491,267) = HCF(2758,2491) = HCF(5249,2758) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 74970 > 1, we apply the division lemma to 74970 and 1, to get
74970 = 1 x 74970 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 74970 is 1
Notice that 1 = HCF(74970,1) .
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 5249, 2758, 74970?
Answer: HCF of 5249, 2758, 74970 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5249, 2758, 74970 using Euclid's Algorithm?
Answer: For arbitrary numbers 5249, 2758, 74970 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.