Highest Common Factor of 927, 574, 708, 670 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 927, 574, 708, 670 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 927, 574, 708, 670 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 927, 574, 708, 670 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 927, 574, 708, 670 is 1.
HCF(927, 574, 708, 670) = 1
HCF of 927, 574, 708, 670 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 927, 574, 708, 670 is 1.
Highest Common Factor of 927,574,708,670 is 1
Step 1: Since 927 > 574, we apply the division lemma to 927 and 574, to get
927 = 574 x 1 + 353
Step 2: Since the reminder 574 ≠ 0, we apply division lemma to 353 and 574, to get
574 = 353 x 1 + 221
Step 3: We consider the new divisor 353 and the new remainder 221, and apply the division lemma to get
353 = 221 x 1 + 132
We consider the new divisor 221 and the new remainder 132,and apply the division lemma to get
221 = 132 x 1 + 89
We consider the new divisor 132 and the new remainder 89,and apply the division lemma to get
132 = 89 x 1 + 43
We consider the new divisor 89 and the new remainder 43,and apply the division lemma to get
89 = 43 x 2 + 3
We consider the new divisor 43 and the new remainder 3,and apply the division lemma to get
43 = 3 x 14 + 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 927 and 574 is 1
Notice that 1 = HCF(3,1) = HCF(43,3) = HCF(89,43) = HCF(132,89) = HCF(221,132) = HCF(353,221) = HCF(574,353) = HCF(927,574) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 708 > 1, we apply the division lemma to 708 and 1, to get
708 = 1 x 708 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 708 is 1
Notice that 1 = HCF(708,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 670 > 1, we apply the division lemma to 670 and 1, to get
670 = 1 x 670 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 670 is 1
Notice that 1 = HCF(670,1) .
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Frequently Asked Questions on HCF of 927, 574, 708, 670 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 927, 574, 708, 670?
Answer: HCF of 927, 574, 708, 670 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 927, 574, 708, 670 using Euclid's Algorithm?
Answer: For arbitrary numbers 927, 574, 708, 670 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.