Highest Common Factor of 940, 112 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 940, 112 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 940, 112 is 4 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 940, 112 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 940, 112 is 4.
HCF(940, 112) = 4
HCF of 940, 112 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 940, 112 is 4.
Highest Common Factor of 940,112 is 4
Step 1: Since 940 > 112, we apply the division lemma to 940 and 112, to get
940 = 112 x 8 + 44
Step 2: Since the reminder 112 ≠ 0, we apply division lemma to 44 and 112, to get
112 = 44 x 2 + 24
Step 3: We consider the new divisor 44 and the new remainder 24, and apply the division lemma to get
44 = 24 x 1 + 20
We consider the new divisor 24 and the new remainder 20,and apply the division lemma to get
24 = 20 x 1 + 4
We consider the new divisor 20 and the new remainder 4,and apply the division lemma to get
20 = 4 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 940 and 112 is 4
Notice that 4 = HCF(20,4) = HCF(24,20) = HCF(44,24) = HCF(112,44) = HCF(940,112) .
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Frequently Asked Questions on HCF of 940, 112 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 940, 112?
Answer: HCF of 940, 112 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 940, 112 using Euclid's Algorithm?
Answer: For arbitrary numbers 940, 112 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.