Highest Common Factor of 904, 713, 146, 10 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 904, 713, 146, 10 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 904, 713, 146, 10 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 904, 713, 146, 10 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 904, 713, 146, 10 is 1.
HCF(904, 713, 146, 10) = 1
HCF of 904, 713, 146, 10 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 904, 713, 146, 10 is 1.
Highest Common Factor of 904,713,146,10 is 1
Step 1: Since 904 > 713, we apply the division lemma to 904 and 713, to get
904 = 713 x 1 + 191
Step 2: Since the reminder 713 ≠ 0, we apply division lemma to 191 and 713, to get
713 = 191 x 3 + 140
Step 3: We consider the new divisor 191 and the new remainder 140, and apply the division lemma to get
191 = 140 x 1 + 51
We consider the new divisor 140 and the new remainder 51,and apply the division lemma to get
140 = 51 x 2 + 38
We consider the new divisor 51 and the new remainder 38,and apply the division lemma to get
51 = 38 x 1 + 13
We consider the new divisor 38 and the new remainder 13,and apply the division lemma to get
38 = 13 x 2 + 12
We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get
13 = 12 x 1 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 904 and 713 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(38,13) = HCF(51,38) = HCF(140,51) = HCF(191,140) = HCF(713,191) = HCF(904,713) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 146 > 1, we apply the division lemma to 146 and 1, to get
146 = 1 x 146 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 146 is 1
Notice that 1 = HCF(146,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 10 > 1, we apply the division lemma to 10 and 1, to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 10 is 1
Notice that 1 = HCF(10,1) .
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Frequently Asked Questions on HCF of 904, 713, 146, 10 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 904, 713, 146, 10?
Answer: HCF of 904, 713, 146, 10 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 904, 713, 146, 10 using Euclid's Algorithm?
Answer: For arbitrary numbers 904, 713, 146, 10 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.