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 398, 763, 780, 43 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 398, 763, 780, 43 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 398, 763, 780, 43 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 398, 763, 780, 43 is 1.
HCF(398, 763, 780, 43) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 398, 763, 780, 43 is 1.
Step 1: Since 763 > 398, we apply the division lemma to 763 and 398, to get
763 = 398 x 1 + 365
Step 2: Since the reminder 398 ≠ 0, we apply division lemma to 365 and 398, to get
398 = 365 x 1 + 33
Step 3: We consider the new divisor 365 and the new remainder 33, and apply the division lemma to get
365 = 33 x 11 + 2
We consider the new divisor 33 and the new remainder 2,and apply the division lemma to get
33 = 2 x 16 + 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 398 and 763 is 1
Notice that 1 = HCF(2,1) = HCF(33,2) = HCF(365,33) = HCF(398,365) = HCF(763,398) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 780 > 1, we apply the division lemma to 780 and 1, to get
780 = 1 x 780 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 780 is 1
Notice that 1 = HCF(780,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 43 > 1, we apply the division lemma to 43 and 1, to get
43 = 1 x 43 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 43 is 1
Notice that 1 = HCF(43,1) .
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 398, 763, 780, 43?
Answer: HCF of 398, 763, 780, 43 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 398, 763, 780, 43 using Euclid's Algorithm?
Answer: For arbitrary numbers 398, 763, 780, 43 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.