Highest Common Factor of 930, 656 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 930, 656 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 930, 656 is 2 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 930, 656 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 930, 656 is 2.
HCF(930, 656) = 2
HCF of 930, 656 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 930, 656 is 2.
Highest Common Factor of 930,656 is 2
Step 1: Since 930 > 656, we apply the division lemma to 930 and 656, to get
930 = 656 x 1 + 274
Step 2: Since the reminder 656 ≠ 0, we apply division lemma to 274 and 656, to get
656 = 274 x 2 + 108
Step 3: We consider the new divisor 274 and the new remainder 108, and apply the division lemma to get
274 = 108 x 2 + 58
We consider the new divisor 108 and the new remainder 58,and apply the division lemma to get
108 = 58 x 1 + 50
We consider the new divisor 58 and the new remainder 50,and apply the division lemma to get
58 = 50 x 1 + 8
We consider the new divisor 50 and the new remainder 8,and apply the division lemma to get
50 = 8 x 6 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 930 and 656 is 2
Notice that 2 = HCF(8,2) = HCF(50,8) = HCF(58,50) = HCF(108,58) = HCF(274,108) = HCF(656,274) = HCF(930,656) .
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Frequently Asked Questions on HCF of 930, 656 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 930, 656?
Answer: HCF of 930, 656 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 930, 656 using Euclid's Algorithm?
Answer: For arbitrary numbers 930, 656 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.