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 919, 560, 672 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 919, 560, 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 919, 560, 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 919, 560, 672 is 1.
HCF(919, 560, 672) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 919, 560, 672 is 1.
Step 1: Since 919 > 560, we apply the division lemma to 919 and 560, to get
919 = 560 x 1 + 359
Step 2: Since the reminder 560 ≠ 0, we apply division lemma to 359 and 560, to get
560 = 359 x 1 + 201
Step 3: We consider the new divisor 359 and the new remainder 201, and apply the division lemma to get
359 = 201 x 1 + 158
We consider the new divisor 201 and the new remainder 158,and apply the division lemma to get
201 = 158 x 1 + 43
We consider the new divisor 158 and the new remainder 43,and apply the division lemma to get
158 = 43 x 3 + 29
We consider the new divisor 43 and the new remainder 29,and apply the division lemma to get
43 = 29 x 1 + 14
We consider the new divisor 29 and the new remainder 14,and apply the division lemma to get
29 = 14 x 2 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 919 and 560 is 1
Notice that 1 = HCF(14,1) = HCF(29,14) = HCF(43,29) = HCF(158,43) = HCF(201,158) = HCF(359,201) = HCF(560,359) = HCF(919,560) .
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 919, 560, 672?
Answer: HCF of 919, 560, 672 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 919, 560, 672 using Euclid's Algorithm?
Answer: For arbitrary numbers 919, 560, 672 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.