Highest Common Factor of 612, 847, 501 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 612, 847, 501 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 612, 847, 501 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 612, 847, 501 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 612, 847, 501 is 1.
HCF(612, 847, 501) = 1
HCF of 612, 847, 501 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 612, 847, 501 is 1.
Highest Common Factor of 612,847,501 is 1
Step 1: Since 847 > 612, we apply the division lemma to 847 and 612, to get
847 = 612 x 1 + 235
Step 2: Since the reminder 612 ≠ 0, we apply division lemma to 235 and 612, to get
612 = 235 x 2 + 142
Step 3: We consider the new divisor 235 and the new remainder 142, and apply the division lemma to get
235 = 142 x 1 + 93
We consider the new divisor 142 and the new remainder 93,and apply the division lemma to get
142 = 93 x 1 + 49
We consider the new divisor 93 and the new remainder 49,and apply the division lemma to get
93 = 49 x 1 + 44
We consider the new divisor 49 and the new remainder 44,and apply the division lemma to get
49 = 44 x 1 + 5
We consider the new divisor 44 and the new remainder 5,and apply the division lemma to get
44 = 5 x 8 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 612 and 847 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(44,5) = HCF(49,44) = HCF(93,49) = HCF(142,93) = HCF(235,142) = HCF(612,235) = HCF(847,612) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 501 > 1, we apply the division lemma to 501 and 1, to get
501 = 1 x 501 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 501 is 1
Notice that 1 = HCF(501,1) .
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Frequently Asked Questions on HCF of 612, 847, 501 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 612, 847, 501?
Answer: HCF of 612, 847, 501 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 612, 847, 501 using Euclid's Algorithm?
Answer: For arbitrary numbers 612, 847, 501 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.