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 920, 349, 438 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 920, 349, 438 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 920, 349, 438 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 920, 349, 438 is 1.
HCF(920, 349, 438) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 920, 349, 438 is 1.
Step 1: Since 920 > 349, we apply the division lemma to 920 and 349, to get
920 = 349 x 2 + 222
Step 2: Since the reminder 349 ≠ 0, we apply division lemma to 222 and 349, to get
349 = 222 x 1 + 127
Step 3: We consider the new divisor 222 and the new remainder 127, and apply the division lemma to get
222 = 127 x 1 + 95
We consider the new divisor 127 and the new remainder 95,and apply the division lemma to get
127 = 95 x 1 + 32
We consider the new divisor 95 and the new remainder 32,and apply the division lemma to get
95 = 32 x 2 + 31
We consider the new divisor 32 and the new remainder 31,and apply the division lemma to get
32 = 31 x 1 + 1
We consider the new divisor 31 and the new remainder 1,and apply the division lemma to get
31 = 1 x 31 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 920 and 349 is 1
Notice that 1 = HCF(31,1) = HCF(32,31) = HCF(95,32) = HCF(127,95) = HCF(222,127) = HCF(349,222) = HCF(920,349) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 438 > 1, we apply the division lemma to 438 and 1, to get
438 = 1 x 438 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 438 is 1
Notice that 1 = HCF(438,1) .
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 920, 349, 438?
Answer: HCF of 920, 349, 438 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 920, 349, 438 using Euclid's Algorithm?
Answer: For arbitrary numbers 920, 349, 438 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.