Highest Common Factor of 828, 949, 764 using Euclid's algorithm
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 828, 949, 764 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 828, 949, 764 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 828, 949, 764 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 828, 949, 764 is 1.
HCF(828, 949, 764) = 1
HCF of 828, 949, 764 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 828, 949, 764 is 1.
Highest Common Factor of 828,949,764 is 1
Step 1: Since 949 > 828, we apply the division lemma to 949 and 828, to get
949 = 828 x 1 + 121
Step 2: Since the reminder 828 ≠ 0, we apply division lemma to 121 and 828, to get
828 = 121 x 6 + 102
Step 3: We consider the new divisor 121 and the new remainder 102, and apply the division lemma to get
121 = 102 x 1 + 19
We consider the new divisor 102 and the new remainder 19,and apply the division lemma to get
102 = 19 x 5 + 7
We consider the new divisor 19 and the new remainder 7,and apply the division lemma to get
19 = 7 x 2 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 828 and 949 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(19,7) = HCF(102,19) = HCF(121,102) = HCF(828,121) = HCF(949,828) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 764 > 1, we apply the division lemma to 764 and 1, to get
764 = 1 x 764 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 764 is 1
Notice that 1 = HCF(764,1) .
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Frequently Asked Questions on HCF of 828, 949, 764 using Euclid's Algorithm
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 828, 949, 764?
Answer: HCF of 828, 949, 764 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 828, 949, 764 using Euclid's Algorithm?
Answer: For arbitrary numbers 828, 949, 764 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.