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 773, 947, 895 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 773, 947, 895 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 773, 947, 895 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 773, 947, 895 is 1.
HCF(773, 947, 895) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 773, 947, 895 is 1.
Step 1: Since 947 > 773, we apply the division lemma to 947 and 773, to get
947 = 773 x 1 + 174
Step 2: Since the reminder 773 ≠ 0, we apply division lemma to 174 and 773, to get
773 = 174 x 4 + 77
Step 3: We consider the new divisor 174 and the new remainder 77, and apply the division lemma to get
174 = 77 x 2 + 20
We consider the new divisor 77 and the new remainder 20,and apply the division lemma to get
77 = 20 x 3 + 17
We consider the new divisor 20 and the new remainder 17,and apply the division lemma to get
20 = 17 x 1 + 3
We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get
17 = 3 x 5 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 773 and 947 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(20,17) = HCF(77,20) = HCF(174,77) = HCF(773,174) = HCF(947,773) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 895 > 1, we apply the division lemma to 895 and 1, to get
895 = 1 x 895 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 895 is 1
Notice that 1 = HCF(895,1) .
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 773, 947, 895?
Answer: HCF of 773, 947, 895 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 773, 947, 895 using Euclid's Algorithm?
Answer: For arbitrary numbers 773, 947, 895 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.