Highest Common Factor of 507, 147, 794 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 507, 147, 794 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 507, 147, 794 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 507, 147, 794 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 507, 147, 794 is 1.
HCF(507, 147, 794) = 1
HCF of 507, 147, 794 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 507, 147, 794 is 1.
Highest Common Factor of 507,147,794 is 1
Step 1: Since 507 > 147, we apply the division lemma to 507 and 147, to get
507 = 147 x 3 + 66
Step 2: Since the reminder 147 ≠ 0, we apply division lemma to 66 and 147, to get
147 = 66 x 2 + 15
Step 3: We consider the new divisor 66 and the new remainder 15, and apply the division lemma to get
66 = 15 x 4 + 6
We consider the new divisor 15 and the new remainder 6,and apply the division lemma to get
15 = 6 x 2 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 507 and 147 is 3
Notice that 3 = HCF(6,3) = HCF(15,6) = HCF(66,15) = HCF(147,66) = HCF(507,147) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 794 > 3, we apply the division lemma to 794 and 3, to get
794 = 3 x 264 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 794 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(794,3) .
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Frequently Asked Questions on HCF of 507, 147, 794 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 507, 147, 794?
Answer: HCF of 507, 147, 794 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 507, 147, 794 using Euclid's Algorithm?
Answer: For arbitrary numbers 507, 147, 794 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.