Highest Common Factor of 950, 265, 390, 110 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 950, 265, 390, 110 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 950, 265, 390, 110 is 5 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 950, 265, 390, 110 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 950, 265, 390, 110 is 5.
HCF(950, 265, 390, 110) = 5
HCF of 950, 265, 390, 110 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 950, 265, 390, 110 is 5.
Highest Common Factor of 950,265,390,110 is 5
Step 1: Since 950 > 265, we apply the division lemma to 950 and 265, to get
950 = 265 x 3 + 155
Step 2: Since the reminder 265 ≠ 0, we apply division lemma to 155 and 265, to get
265 = 155 x 1 + 110
Step 3: We consider the new divisor 155 and the new remainder 110, and apply the division lemma to get
155 = 110 x 1 + 45
We consider the new divisor 110 and the new remainder 45,and apply the division lemma to get
110 = 45 x 2 + 20
We consider the new divisor 45 and the new remainder 20,and apply the division lemma to get
45 = 20 x 2 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 950 and 265 is 5
Notice that 5 = HCF(20,5) = HCF(45,20) = HCF(110,45) = HCF(155,110) = HCF(265,155) = HCF(950,265) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 390 > 5, we apply the division lemma to 390 and 5, to get
390 = 5 x 78 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 390 is 5
Notice that 5 = HCF(390,5) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 110 > 5, we apply the division lemma to 110 and 5, to get
110 = 5 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 110 is 5
Notice that 5 = HCF(110,5) .
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Frequently Asked Questions on HCF of 950, 265, 390, 110 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 950, 265, 390, 110?
Answer: HCF of 950, 265, 390, 110 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 950, 265, 390, 110 using Euclid's Algorithm?
Answer: For arbitrary numbers 950, 265, 390, 110 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.