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 772, 929 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 772, 929 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 772, 929 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 772, 929 is 1.
HCF(772, 929) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 772, 929 is 1.
Step 1: Since 929 > 772, we apply the division lemma to 929 and 772, to get
929 = 772 x 1 + 157
Step 2: Since the reminder 772 ≠ 0, we apply division lemma to 157 and 772, to get
772 = 157 x 4 + 144
Step 3: We consider the new divisor 157 and the new remainder 144, and apply the division lemma to get
157 = 144 x 1 + 13
We consider the new divisor 144 and the new remainder 13,and apply the division lemma to get
144 = 13 x 11 + 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 772 and 929 is 1
Notice that 1 = HCF(13,1) = HCF(144,13) = HCF(157,144) = HCF(772,157) = HCF(929,772) .
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 772, 929?
Answer: HCF of 772, 929 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 772, 929 using Euclid's Algorithm?
Answer: For arbitrary numbers 772, 929 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.