Highest Common Factor of 972, 556 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 972, 556 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 972, 556 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 972, 556 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 972, 556 is 4.
HCF(972, 556) = 4
HCF of 972, 556 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 972, 556 is 4.
Highest Common Factor of 972,556 is 4
Step 1: Since 972 > 556, we apply the division lemma to 972 and 556, to get
972 = 556 x 1 + 416
Step 2: Since the reminder 556 ≠ 0, we apply division lemma to 416 and 556, to get
556 = 416 x 1 + 140
Step 3: We consider the new divisor 416 and the new remainder 140, and apply the division lemma to get
416 = 140 x 2 + 136
We consider the new divisor 140 and the new remainder 136,and apply the division lemma to get
140 = 136 x 1 + 4
We consider the new divisor 136 and the new remainder 4,and apply the division lemma to get
136 = 4 x 34 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 972 and 556 is 4
Notice that 4 = HCF(136,4) = HCF(140,136) = HCF(416,140) = HCF(556,416) = HCF(972,556) .
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Frequently Asked Questions on HCF of 972, 556 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 972, 556?
Answer: HCF of 972, 556 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 972, 556 using Euclid's Algorithm?
Answer: For arbitrary numbers 972, 556 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.