Highest Common Factor of 807, 504, 477 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 807, 504, 477 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 807, 504, 477 is 3 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 807, 504, 477 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 807, 504, 477 is 3.
HCF(807, 504, 477) = 3
HCF of 807, 504, 477 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 807, 504, 477 is 3.
Highest Common Factor of 807,504,477 is 3
Step 1: Since 807 > 504, we apply the division lemma to 807 and 504, to get
807 = 504 x 1 + 303
Step 2: Since the reminder 504 ≠ 0, we apply division lemma to 303 and 504, to get
504 = 303 x 1 + 201
Step 3: We consider the new divisor 303 and the new remainder 201, and apply the division lemma to get
303 = 201 x 1 + 102
We consider the new divisor 201 and the new remainder 102,and apply the division lemma to get
201 = 102 x 1 + 99
We consider the new divisor 102 and the new remainder 99,and apply the division lemma to get
102 = 99 x 1 + 3
We consider the new divisor 99 and the new remainder 3,and apply the division lemma to get
99 = 3 x 33 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 807 and 504 is 3
Notice that 3 = HCF(99,3) = HCF(102,99) = HCF(201,102) = HCF(303,201) = HCF(504,303) = HCF(807,504) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 477 > 3, we apply the division lemma to 477 and 3, to get
477 = 3 x 159 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 477 is 3
Notice that 3 = HCF(477,3) .
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Frequently Asked Questions on HCF of 807, 504, 477 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 807, 504, 477?
Answer: HCF of 807, 504, 477 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 807, 504, 477 using Euclid's Algorithm?
Answer: For arbitrary numbers 807, 504, 477 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.