Highest Common Factor of 907, 6661 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 907, 6661 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 907, 6661 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 907, 6661 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 907, 6661 is 1.
HCF(907, 6661) = 1
HCF of 907, 6661 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 907, 6661 is 1.
Highest Common Factor of 907,6661 is 1
Step 1: Since 6661 > 907, we apply the division lemma to 6661 and 907, to get
6661 = 907 x 7 + 312
Step 2: Since the reminder 907 ≠ 0, we apply division lemma to 312 and 907, to get
907 = 312 x 2 + 283
Step 3: We consider the new divisor 312 and the new remainder 283, and apply the division lemma to get
312 = 283 x 1 + 29
We consider the new divisor 283 and the new remainder 29,and apply the division lemma to get
283 = 29 x 9 + 22
We consider the new divisor 29 and the new remainder 22,and apply the division lemma to get
29 = 22 x 1 + 7
We consider the new divisor 22 and the new remainder 7,and apply the division lemma to get
22 = 7 x 3 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 907 and 6661 is 1
Notice that 1 = HCF(7,1) = HCF(22,7) = HCF(29,22) = HCF(283,29) = HCF(312,283) = HCF(907,312) = HCF(6661,907) .
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Frequently Asked Questions on HCF of 907, 6661 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 907, 6661?
Answer: HCF of 907, 6661 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 907, 6661 using Euclid's Algorithm?
Answer: For arbitrary numbers 907, 6661 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.