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 891, 548, 672 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 891, 548, 672 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 891, 548, 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 891, 548, 672 is 1.
HCF(891, 548, 672) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 891, 548, 672 is 1.
Step 1: Since 891 > 548, we apply the division lemma to 891 and 548, to get
891 = 548 x 1 + 343
Step 2: Since the reminder 548 ≠ 0, we apply division lemma to 343 and 548, to get
548 = 343 x 1 + 205
Step 3: We consider the new divisor 343 and the new remainder 205, and apply the division lemma to get
343 = 205 x 1 + 138
We consider the new divisor 205 and the new remainder 138,and apply the division lemma to get
205 = 138 x 1 + 67
We consider the new divisor 138 and the new remainder 67,and apply the division lemma to get
138 = 67 x 2 + 4
We consider the new divisor 67 and the new remainder 4,and apply the division lemma to get
67 = 4 x 16 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 891 and 548 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(67,4) = HCF(138,67) = HCF(205,138) = HCF(343,205) = HCF(548,343) = HCF(891,548) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 672 > 1, we apply the division lemma to 672 and 1, to get
672 = 1 x 672 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 672 is 1
Notice that 1 = HCF(672,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 891, 548, 672?
Answer: HCF of 891, 548, 672 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 891, 548, 672 using Euclid's Algorithm?
Answer: For arbitrary numbers 891, 548, 672 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.