Highest Common Factor of 927, 672 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, 672 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 927, 672 is 3 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, 672 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, 672 is 3.
HCF(927, 672) = 3
HCF of 927, 672 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, 672 is 3.
Highest Common Factor of 927,672 is 3
Step 1: Since 927 > 672, we apply the division lemma to 927 and 672, to get
927 = 672 x 1 + 255
Step 2: Since the reminder 672 ≠ 0, we apply division lemma to 255 and 672, to get
672 = 255 x 2 + 162
Step 3: We consider the new divisor 255 and the new remainder 162, and apply the division lemma to get
255 = 162 x 1 + 93
We consider the new divisor 162 and the new remainder 93,and apply the division lemma to get
162 = 93 x 1 + 69
We consider the new divisor 93 and the new remainder 69,and apply the division lemma to get
93 = 69 x 1 + 24
We consider the new divisor 69 and the new remainder 24,and apply the division lemma to get
69 = 24 x 2 + 21
We consider the new divisor 24 and the new remainder 21,and apply the division lemma to get
24 = 21 x 1 + 3
We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get
21 = 3 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 927 and 672 is 3
Notice that 3 = HCF(21,3) = HCF(24,21) = HCF(69,24) = HCF(93,69) = HCF(162,93) = HCF(255,162) = HCF(672,255) = HCF(927,672) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 927, 672 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, 672?
Answer: HCF of 927, 672 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 927, 672 using Euclid's Algorithm?
Answer: For arbitrary numbers 927, 672 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.