Highest Common Factor of 504, 881, 741, 686 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 504, 881, 741, 686 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 504, 881, 741, 686 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 504, 881, 741, 686 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 504, 881, 741, 686 is 1.
HCF(504, 881, 741, 686) = 1
HCF of 504, 881, 741, 686 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 504, 881, 741, 686 is 1.
Highest Common Factor of 504,881,741,686 is 1
Step 1: Since 881 > 504, we apply the division lemma to 881 and 504, to get
881 = 504 x 1 + 377
Step 2: Since the reminder 504 ≠ 0, we apply division lemma to 377 and 504, to get
504 = 377 x 1 + 127
Step 3: We consider the new divisor 377 and the new remainder 127, and apply the division lemma to get
377 = 127 x 2 + 123
We consider the new divisor 127 and the new remainder 123,and apply the division lemma to get
127 = 123 x 1 + 4
We consider the new divisor 123 and the new remainder 4,and apply the division lemma to get
123 = 4 x 30 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 504 and 881 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(123,4) = HCF(127,123) = HCF(377,127) = HCF(504,377) = HCF(881,504) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 741 > 1, we apply the division lemma to 741 and 1, to get
741 = 1 x 741 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 741 is 1
Notice that 1 = HCF(741,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 686 > 1, we apply the division lemma to 686 and 1, to get
686 = 1 x 686 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 686 is 1
Notice that 1 = HCF(686,1) .
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Frequently Asked Questions on HCF of 504, 881, 741, 686 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 504, 881, 741, 686?
Answer: HCF of 504, 881, 741, 686 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 504, 881, 741, 686 using Euclid's Algorithm?
Answer: For arbitrary numbers 504, 881, 741, 686 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.