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 190, 741, 710 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 190, 741, 710 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 190, 741, 710 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 190, 741, 710 is 1.
HCF(190, 741, 710) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 190, 741, 710 is 1.
Step 1: Since 741 > 190, we apply the division lemma to 741 and 190, to get
741 = 190 x 3 + 171
Step 2: Since the reminder 190 ≠ 0, we apply division lemma to 171 and 190, to get
190 = 171 x 1 + 19
Step 3: We consider the new divisor 171 and the new remainder 19, and apply the division lemma to get
171 = 19 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 19, the HCF of 190 and 741 is 19
Notice that 19 = HCF(171,19) = HCF(190,171) = HCF(741,190) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 710 > 19, we apply the division lemma to 710 and 19, to get
710 = 19 x 37 + 7
Step 2: Since the reminder 19 ≠ 0, we apply division lemma to 7 and 19, to get
19 = 7 x 2 + 5
Step 3: We consider the new divisor 7 and the new remainder 5, and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 19 and 710 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(19,7) = HCF(710,19) .
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 190, 741, 710?
Answer: HCF of 190, 741, 710 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 190, 741, 710 using Euclid's Algorithm?
Answer: For arbitrary numbers 190, 741, 710 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.