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 774, 895 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 774, 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 774, 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 774, 895 is 1.
HCF(774, 895) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 774, 895 is 1.
Step 1: Since 895 > 774, we apply the division lemma to 895 and 774, to get
895 = 774 x 1 + 121
Step 2: Since the reminder 774 ≠ 0, we apply division lemma to 121 and 774, to get
774 = 121 x 6 + 48
Step 3: We consider the new divisor 121 and the new remainder 48, and apply the division lemma to get
121 = 48 x 2 + 25
We consider the new divisor 48 and the new remainder 25,and apply the division lemma to get
48 = 25 x 1 + 23
We consider the new divisor 25 and the new remainder 23,and apply the division lemma to get
25 = 23 x 1 + 2
We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get
23 = 2 x 11 + 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 774 and 895 is 1
Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(25,23) = HCF(48,25) = HCF(121,48) = HCF(774,121) = HCF(895,774) .
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 774, 895?
Answer: HCF of 774, 895 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 774, 895 using Euclid's Algorithm?
Answer: For arbitrary numbers 774, 895 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.