Highest Common Factor of 914, 390, 942, 964 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 914, 390, 942, 964 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 914, 390, 942, 964 is 2 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 914, 390, 942, 964 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 914, 390, 942, 964 is 2.
HCF(914, 390, 942, 964) = 2
HCF of 914, 390, 942, 964 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 914, 390, 942, 964 is 2.
Highest Common Factor of 914,390,942,964 is 2
Step 1: Since 914 > 390, we apply the division lemma to 914 and 390, to get
914 = 390 x 2 + 134
Step 2: Since the reminder 390 ≠ 0, we apply division lemma to 134 and 390, to get
390 = 134 x 2 + 122
Step 3: We consider the new divisor 134 and the new remainder 122, and apply the division lemma to get
134 = 122 x 1 + 12
We consider the new divisor 122 and the new remainder 12,and apply the division lemma to get
122 = 12 x 10 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 914 and 390 is 2
Notice that 2 = HCF(12,2) = HCF(122,12) = HCF(134,122) = HCF(390,134) = HCF(914,390) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 942 > 2, we apply the division lemma to 942 and 2, to get
942 = 2 x 471 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 942 is 2
Notice that 2 = HCF(942,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 964 > 2, we apply the division lemma to 964 and 2, to get
964 = 2 x 482 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 964 is 2
Notice that 2 = HCF(964,2) .
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Frequently Asked Questions on HCF of 914, 390, 942, 964 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 914, 390, 942, 964?
Answer: HCF of 914, 390, 942, 964 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 914, 390, 942, 964 using Euclid's Algorithm?
Answer: For arbitrary numbers 914, 390, 942, 964 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.