Highest Common Factor of 664, 750, 444, 760 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 664, 750, 444, 760 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 664, 750, 444, 760 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 664, 750, 444, 760 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 664, 750, 444, 760 is 2.
HCF(664, 750, 444, 760) = 2
HCF of 664, 750, 444, 760 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 664, 750, 444, 760 is 2.
Highest Common Factor of 664,750,444,760 is 2
Step 1: Since 750 > 664, we apply the division lemma to 750 and 664, to get
750 = 664 x 1 + 86
Step 2: Since the reminder 664 ≠ 0, we apply division lemma to 86 and 664, to get
664 = 86 x 7 + 62
Step 3: We consider the new divisor 86 and the new remainder 62, and apply the division lemma to get
86 = 62 x 1 + 24
We consider the new divisor 62 and the new remainder 24,and apply the division lemma to get
62 = 24 x 2 + 14
We consider the new divisor 24 and the new remainder 14,and apply the division lemma to get
24 = 14 x 1 + 10
We consider the new divisor 14 and the new remainder 10,and apply the division lemma to get
14 = 10 x 1 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 664 and 750 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(14,10) = HCF(24,14) = HCF(62,24) = HCF(86,62) = HCF(664,86) = HCF(750,664) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 444 > 2, we apply the division lemma to 444 and 2, to get
444 = 2 x 222 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 444 is 2
Notice that 2 = HCF(444,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 760 > 2, we apply the division lemma to 760 and 2, to get
760 = 2 x 380 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 760 is 2
Notice that 2 = HCF(760,2) .
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Frequently Asked Questions on HCF of 664, 750, 444, 760 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 664, 750, 444, 760?
Answer: HCF of 664, 750, 444, 760 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 664, 750, 444, 760 using Euclid's Algorithm?
Answer: For arbitrary numbers 664, 750, 444, 760 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.