Highest Common Factor of 777, 504, 392, 183 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 777, 504, 392, 183 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 777, 504, 392, 183 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 777, 504, 392, 183 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 777, 504, 392, 183 is 1.
HCF(777, 504, 392, 183) = 1
HCF of 777, 504, 392, 183 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 777, 504, 392, 183 is 1.
Highest Common Factor of 777,504,392,183 is 1
Step 1: Since 777 > 504, we apply the division lemma to 777 and 504, to get
777 = 504 x 1 + 273
Step 2: Since the reminder 504 ≠ 0, we apply division lemma to 273 and 504, to get
504 = 273 x 1 + 231
Step 3: We consider the new divisor 273 and the new remainder 231, and apply the division lemma to get
273 = 231 x 1 + 42
We consider the new divisor 231 and the new remainder 42,and apply the division lemma to get
231 = 42 x 5 + 21
We consider the new divisor 42 and the new remainder 21,and apply the division lemma to get
42 = 21 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 21, the HCF of 777 and 504 is 21
Notice that 21 = HCF(42,21) = HCF(231,42) = HCF(273,231) = HCF(504,273) = HCF(777,504) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 392 > 21, we apply the division lemma to 392 and 21, to get
392 = 21 x 18 + 14
Step 2: Since the reminder 21 ≠ 0, we apply division lemma to 14 and 21, to get
21 = 14 x 1 + 7
Step 3: We consider the new divisor 14 and the new remainder 7, and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 21 and 392 is 7
Notice that 7 = HCF(14,7) = HCF(21,14) = HCF(392,21) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 183 > 7, we apply the division lemma to 183 and 7, to get
183 = 7 x 26 + 1
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 1 and 7, to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7 and 183 is 1
Notice that 1 = HCF(7,1) = HCF(183,7) .
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Frequently Asked Questions on HCF of 777, 504, 392, 183 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 777, 504, 392, 183?
Answer: HCF of 777, 504, 392, 183 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 777, 504, 392, 183 using Euclid's Algorithm?
Answer: For arbitrary numbers 777, 504, 392, 183 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.