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 778, 505, 809 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 778, 505, 809 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 778, 505, 809 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 778, 505, 809 is 1.
HCF(778, 505, 809) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 778, 505, 809 is 1.
Step 1: Since 778 > 505, we apply the division lemma to 778 and 505, to get
778 = 505 x 1 + 273
Step 2: Since the reminder 505 ≠ 0, we apply division lemma to 273 and 505, to get
505 = 273 x 1 + 232
Step 3: We consider the new divisor 273 and the new remainder 232, and apply the division lemma to get
273 = 232 x 1 + 41
We consider the new divisor 232 and the new remainder 41,and apply the division lemma to get
232 = 41 x 5 + 27
We consider the new divisor 41 and the new remainder 27,and apply the division lemma to get
41 = 27 x 1 + 14
We consider the new divisor 27 and the new remainder 14,and apply the division lemma to get
27 = 14 x 1 + 13
We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get
14 = 13 x 1 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 778 and 505 is 1
Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(27,14) = HCF(41,27) = HCF(232,41) = HCF(273,232) = HCF(505,273) = HCF(778,505) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 809 > 1, we apply the division lemma to 809 and 1, to get
809 = 1 x 809 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 809 is 1
Notice that 1 = HCF(809,1) .
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 778, 505, 809?
Answer: HCF of 778, 505, 809 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 778, 505, 809 using Euclid's Algorithm?
Answer: For arbitrary numbers 778, 505, 809 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.