Highest Common Factor of 980, 595, 154 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 980, 595, 154 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 980, 595, 154 is 7 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 980, 595, 154 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 980, 595, 154 is 7.
HCF(980, 595, 154) = 7
HCF of 980, 595, 154 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 980, 595, 154 is 7.
Highest Common Factor of 980,595,154 is 7
Step 1: Since 980 > 595, we apply the division lemma to 980 and 595, to get
980 = 595 x 1 + 385
Step 2: Since the reminder 595 ≠ 0, we apply division lemma to 385 and 595, to get
595 = 385 x 1 + 210
Step 3: We consider the new divisor 385 and the new remainder 210, and apply the division lemma to get
385 = 210 x 1 + 175
We consider the new divisor 210 and the new remainder 175,and apply the division lemma to get
210 = 175 x 1 + 35
We consider the new divisor 175 and the new remainder 35,and apply the division lemma to get
175 = 35 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 35, the HCF of 980 and 595 is 35
Notice that 35 = HCF(175,35) = HCF(210,175) = HCF(385,210) = HCF(595,385) = HCF(980,595) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 154 > 35, we apply the division lemma to 154 and 35, to get
154 = 35 x 4 + 14
Step 2: Since the reminder 35 ≠ 0, we apply division lemma to 14 and 35, to get
35 = 14 x 2 + 7
Step 3: We consider the new divisor 14 and the new remainder 7, and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 35 and 154 is 7
Notice that 7 = HCF(14,7) = HCF(35,14) = HCF(154,35) .
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Frequently Asked Questions on HCF of 980, 595, 154 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 980, 595, 154?
Answer: HCF of 980, 595, 154 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 980, 595, 154 using Euclid's Algorithm?
Answer: For arbitrary numbers 980, 595, 154 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.