Highest Common Factor of 471, 779, 972 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 471, 779, 972 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 471, 779, 972 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 471, 779, 972 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 471, 779, 972 is 1.
HCF(471, 779, 972) = 1
HCF of 471, 779, 972 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 471, 779, 972 is 1.
Highest Common Factor of 471,779,972 is 1
Step 1: Since 779 > 471, we apply the division lemma to 779 and 471, to get
779 = 471 x 1 + 308
Step 2: Since the reminder 471 ≠ 0, we apply division lemma to 308 and 471, to get
471 = 308 x 1 + 163
Step 3: We consider the new divisor 308 and the new remainder 163, and apply the division lemma to get
308 = 163 x 1 + 145
We consider the new divisor 163 and the new remainder 145,and apply the division lemma to get
163 = 145 x 1 + 18
We consider the new divisor 145 and the new remainder 18,and apply the division lemma to get
145 = 18 x 8 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 471 and 779 is 1
Notice that 1 = HCF(18,1) = HCF(145,18) = HCF(163,145) = HCF(308,163) = HCF(471,308) = HCF(779,471) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 972 > 1, we apply the division lemma to 972 and 1, to get
972 = 1 x 972 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 972 is 1
Notice that 1 = HCF(972,1) .
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Frequently Asked Questions on HCF of 471, 779, 972 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 471, 779, 972?
Answer: HCF of 471, 779, 972 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 471, 779, 972 using Euclid's Algorithm?
Answer: For arbitrary numbers 471, 779, 972 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
