Highest Common Factor of 647, 3490, 5925 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 647, 3490, 5925 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 647, 3490, 5925 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 647, 3490, 5925 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 647, 3490, 5925 is 1.
HCF(647, 3490, 5925) = 1
HCF of 647, 3490, 5925 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 647, 3490, 5925 is 1.
Highest Common Factor of 647,3490,5925 is 1
Step 1: Since 3490 > 647, we apply the division lemma to 3490 and 647, to get
3490 = 647 x 5 + 255
Step 2: Since the reminder 647 ≠ 0, we apply division lemma to 255 and 647, to get
647 = 255 x 2 + 137
Step 3: We consider the new divisor 255 and the new remainder 137, and apply the division lemma to get
255 = 137 x 1 + 118
We consider the new divisor 137 and the new remainder 118,and apply the division lemma to get
137 = 118 x 1 + 19
We consider the new divisor 118 and the new remainder 19,and apply the division lemma to get
118 = 19 x 6 + 4
We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get
19 = 4 x 4 + 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 647 and 3490 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(118,19) = HCF(137,118) = HCF(255,137) = HCF(647,255) = HCF(3490,647) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5925 > 1, we apply the division lemma to 5925 and 1, to get
5925 = 1 x 5925 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5925 is 1
Notice that 1 = HCF(5925,1) .
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Frequently Asked Questions on HCF of 647, 3490, 5925 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 647, 3490, 5925?
Answer: HCF of 647, 3490, 5925 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 647, 3490, 5925 using Euclid's Algorithm?
Answer: For arbitrary numbers 647, 3490, 5925 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.