Highest Common Factor of 147, 542, 194, 968 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 147, 542, 194, 968 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 147, 542, 194, 968 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 147, 542, 194, 968 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 147, 542, 194, 968 is 1.
HCF(147, 542, 194, 968) = 1
HCF of 147, 542, 194, 968 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 147, 542, 194, 968 is 1.
Highest Common Factor of 147,542,194,968 is 1
Step 1: Since 542 > 147, we apply the division lemma to 542 and 147, to get
542 = 147 x 3 + 101
Step 2: Since the reminder 147 ≠ 0, we apply division lemma to 101 and 147, to get
147 = 101 x 1 + 46
Step 3: We consider the new divisor 101 and the new remainder 46, and apply the division lemma to get
101 = 46 x 2 + 9
We consider the new divisor 46 and the new remainder 9,and apply the division lemma to get
46 = 9 x 5 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 147 and 542 is 1
Notice that 1 = HCF(9,1) = HCF(46,9) = HCF(101,46) = HCF(147,101) = HCF(542,147) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 194 > 1, we apply the division lemma to 194 and 1, to get
194 = 1 x 194 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 194 is 1
Notice that 1 = HCF(194,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 968 > 1, we apply the division lemma to 968 and 1, to get
968 = 1 x 968 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 968 is 1
Notice that 1 = HCF(968,1) .
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Frequently Asked Questions on HCF of 147, 542, 194, 968 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 147, 542, 194, 968?
Answer: HCF of 147, 542, 194, 968 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 147, 542, 194, 968 using Euclid's Algorithm?
Answer: For arbitrary numbers 147, 542, 194, 968 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.