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 785, 302, 781 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 785, 302, 781 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 785, 302, 781 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 785, 302, 781 is 1.
HCF(785, 302, 781) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 785, 302, 781 is 1.
Step 1: Since 785 > 302, we apply the division lemma to 785 and 302, to get
785 = 302 x 2 + 181
Step 2: Since the reminder 302 ≠ 0, we apply division lemma to 181 and 302, to get
302 = 181 x 1 + 121
Step 3: We consider the new divisor 181 and the new remainder 121, and apply the division lemma to get
181 = 121 x 1 + 60
We consider the new divisor 121 and the new remainder 60,and apply the division lemma to get
121 = 60 x 2 + 1
We consider the new divisor 60 and the new remainder 1,and apply the division lemma to get
60 = 1 x 60 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 785 and 302 is 1
Notice that 1 = HCF(60,1) = HCF(121,60) = HCF(181,121) = HCF(302,181) = HCF(785,302) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 781 > 1, we apply the division lemma to 781 and 1, to get
781 = 1 x 781 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 781 is 1
Notice that 1 = HCF(781,1) .
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 785, 302, 781?
Answer: HCF of 785, 302, 781 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 785, 302, 781 using Euclid's Algorithm?
Answer: For arbitrary numbers 785, 302, 781 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.