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 555, 931, 58, 942 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 555, 931, 58, 942 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 555, 931, 58, 942 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 555, 931, 58, 942 is 1.
HCF(555, 931, 58, 942) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 555, 931, 58, 942 is 1.
Step 1: Since 931 > 555, we apply the division lemma to 931 and 555, to get
931 = 555 x 1 + 376
Step 2: Since the reminder 555 ≠ 0, we apply division lemma to 376 and 555, to get
555 = 376 x 1 + 179
Step 3: We consider the new divisor 376 and the new remainder 179, and apply the division lemma to get
376 = 179 x 2 + 18
We consider the new divisor 179 and the new remainder 18,and apply the division lemma to get
179 = 18 x 9 + 17
We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get
18 = 17 x 1 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 555 and 931 is 1
Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(179,18) = HCF(376,179) = HCF(555,376) = HCF(931,555) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 58 > 1, we apply the division lemma to 58 and 1, to get
58 = 1 x 58 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 58 is 1
Notice that 1 = HCF(58,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 942 > 1, we apply the division lemma to 942 and 1, to get
942 = 1 x 942 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 942 is 1
Notice that 1 = HCF(942,1) .
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 555, 931, 58, 942?
Answer: HCF of 555, 931, 58, 942 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 555, 931, 58, 942 using Euclid's Algorithm?
Answer: For arbitrary numbers 555, 931, 58, 942 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.