Highest Common Factor of 975, 547, 207 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 975, 547, 207 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 975, 547, 207 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 975, 547, 207 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 975, 547, 207 is 1.
HCF(975, 547, 207) = 1
HCF of 975, 547, 207 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 975, 547, 207 is 1.
Highest Common Factor of 975,547,207 is 1
Step 1: Since 975 > 547, we apply the division lemma to 975 and 547, to get
975 = 547 x 1 + 428
Step 2: Since the reminder 547 ≠ 0, we apply division lemma to 428 and 547, to get
547 = 428 x 1 + 119
Step 3: We consider the new divisor 428 and the new remainder 119, and apply the division lemma to get
428 = 119 x 3 + 71
We consider the new divisor 119 and the new remainder 71,and apply the division lemma to get
119 = 71 x 1 + 48
We consider the new divisor 71 and the new remainder 48,and apply the division lemma to get
71 = 48 x 1 + 23
We consider the new divisor 48 and the new remainder 23,and apply the division lemma to get
48 = 23 x 2 + 2
We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get
23 = 2 x 11 + 1
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 975 and 547 is 1
Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(48,23) = HCF(71,48) = HCF(119,71) = HCF(428,119) = HCF(547,428) = HCF(975,547) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 207 > 1, we apply the division lemma to 207 and 1, to get
207 = 1 x 207 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 207 is 1
Notice that 1 = HCF(207,1) .
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Frequently Asked Questions on HCF of 975, 547, 207 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 975, 547, 207?
Answer: HCF of 975, 547, 207 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 975, 547, 207 using Euclid's Algorithm?
Answer: For arbitrary numbers 975, 547, 207 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
